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词汇 example_english_right-triangle
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Examples of right triangle


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He was the first to list the six distinct cases of a righttriangle in spherical trigonometry.
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Unless specified otherwise, whenever a triangle is mentioned in this article, a 3-4-5 righttriangle of the first quadrant is what is meant.
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He essentially manipulated right triangles to produce isosceles triangles, scalene triangles, rectangles, isosceles trapezoids, isosceles trapezoids with three equal sides, and a scalene cyclic quadrilateral.
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The righttriangle gives the ratios of outputs of the cones under the various illuminations conditions.
However, they must be performed at last in parts simultaneously, with computing resources being passed from the bottom left triangle to the top righttriangle in a rather intricate manner.
In a righttriangle, the altitude with the hypotenuse "c" as base divides the hypotenuse into two lengths "p" and "q".
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Lydian uniquely features a quotation mark in the shape of a righttriangle.
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The relation between the sides and angles of a righttriangle is the basis for trigonometry.
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These are found by discarding half of the sub-copies and permutating the remainder until they are mirror-symmetrical within a righttriangle.
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The tool is a righttriangle with a ruler on one equal side and a fence on the other.
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Any triangle, in which the altitude equals the geometric mean of the two line segments created by it, is a righttriangle.
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In two dimensions, this is the assertion that the length of the leg of a righttriangle may not exceed the length of the hypotenuse.
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The 30-60-90 triangle is the only righttriangle whose angles are in an arithmetic progression.
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The righttriangle is the only triangle having two, rather than one or three, distinct inscribed squares.
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The most versatile shape is a simple righttriangle, made by folding the square wrapper in half by pulling together two diagonally opposite corners.
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The spine, composed of trabecular dentine, is roughly a righttriangle in shape, with the hypothenuse concave anterodorsally.
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The 3-4-5 righttriangle and other rules of thumb served to represent rectilinear structures including their post and lintel architecture.
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Shaped roughly like a righttriangle, the campus measures 800 metres (880 yards) east-west along the hypotenuse, and 520m yd north-south at its maximum.
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For example, a righttriangle may have angles that form simple relationships, such as 454590.
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Form a righttriangle in the z plane with being one of the acute angles.
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In other words, two copies will tile a righttriangle.
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When looking on a map, the two spans and the south bank of the river form a righttriangle.
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In a righttriangle two of them are merged and coincide with each other, so there are only two distinct inscribed squares.
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For an example, any parallelogram can be subdivided into a trapezoid and a righttriangle, as shown in figure to the left.
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To motivate this, consider a righttriangle with legs "a" and "b", and hypotenuse "c", where "a", "b", and "c" are positive integers.
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The perimeter of a righttriangle equals the sum of the radii of the incircle and the three excircles.
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A righttriangle is also a scalene triangle if and only if it is not isosceles.
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If the catheti of a righttriangle have different lengths, distinction can be made between the minor (shorter) and major (longer) cathetus.
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The numbers 7 and 24 are the sides, "a" and "b", of a righttriangle, and the hypotenuse is one greater than the largest side.
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Each righttriangle represents three points in a regular polygon: a vertex, an edge center containing that vertex, and the polygon center.
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The nasal projection measurement is obtained by delineating a righttriangle with lines parting from the nasion (nasofrontal juncture) to the alarfacialgroove.
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This sets up a righttriangle, with the sum of the radius and the height as the hypotenuse.
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They were measured on the gnmn, the vertical leg of a righttriangle, and the flat leg of the triangle.
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Graphs of two polygons, a parallelogram and a righttriangle, are shown here along with the graph of a circle.
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This gives the righttriangle the classic 3:4:5 ratio.
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The overall footprint on the 65,000 m2 site is of a righttriangle.
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A reflective prism is made by making a righttriangle prism (typically, half of an equilateral prism) with one side mirrored.
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Indeed, the simplest of all rep-tiles is a single isosceles righttriangle.
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A righttriangle with two equal legs is a 45-degree righttriangle, all of which are similar.
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The value "n/d" means the vertex angle is "d" / "n" of the half-circle. 2 means a righttriangle.
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This means that, for a righttriangle with a given angle, the ratio of adjacent side length to opposite side length (see tangent) is constant.
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They are also exactly the prime numbers "p" such that there exists a righttriangle with integer sides whose hypotenuse has length "p".
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The small district is carved into the shape of a righttriangle.
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The congruent number problem asks which positive integerss can be the area of a righttriangle with all three sides rational.
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The righttriangle design functions well when the bathtub and walls are installed perfectly square with each other.
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Most shower splash guard designs are based on a righttriangle, where the 90 degree legs are attached to the wall and tub ledge.
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On top of the cylinders is a righttriangle that measures 4 ft tall and 20 in on the shortest side.
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The island has the shape of a righttriangle elongated along a northeast-southwest axis, whose legs are 2.5km 1 and 1.2km 1 long.
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Consider the righttriangle shown.
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If ("x", "y") is a point on the unit circle, then "x" and "y" are the lengths of the legs of a righttriangle whose hypotenuse has length 1.
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A righttriangle with side lengths in the ratio 1:2 is rep-5, and its rep-5 dissection forms the basis of the aperiodic pinwheel tiling.
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This is called an angle-based righttriangle.
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Any circle with a circumference "c" and a radius "r" is equal in area with a righttriangle with the two legs being "c" and "r".
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Also, in a righttriangle, the angle opposing the hypotenuse measures 90 degrees, with the other two angles adding up to 90 for a total of 180 degrees.
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Another corollary of the theorem is that in any righttriangle, the hypotenuse is greater than any one of the other sides, but less than their sum.
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This theorem comes from geometry and states that square of the hypotenuse of a righttriangle is equal to the sum of the squares of the other two sides.
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For example, the "sine", "cosine", and "tangent" ratios in a righttriangle can be remembered by representing them and their corresponding sides as strings of letters.
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In a righttriangle two of the squares coincide and have a vertex at the triangle's right angle, so a right triangle has only two "distinct" inscribed squares.
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This is sufficient to easily compute the area, as each righttriangle is half a rectangle, or alternatively can be cut halfway up to be reassembled into a rectangle.
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If the length of the hypotenuse of a righttriangle is 1, then the lengths of the legs are the sine and cosine of one of the angles.
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Consider a primitive righttriangle, that is, with integral side lengths "a", "b", "c", with "c" the hypotenuse, such that the sides have no common factor larger than 1.
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The second and subtler step is that each righttriangle (or equivalently rectangle) can be decomposed into a rectangle with a side of a given (unit) length.
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The square may alternatively be divided into a pair of isosceles right triangles.
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Geometric concepts such as right triangles are also introduced.
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Visually, each square is divided into four right triangles, with two visible from each side.
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It is square tiling with each square divided into four isosceles right triangles from the center point, forming an infinite arrangement of lines.
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This idea calls for right triangles at a ratio of five to four to three used in the gateways to measure all parts.
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It is constructed by congruent right triangles with 4, 8, and 10 triangles meeting at each vertex.
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Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles).
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Often waves appear in conjunction with right triangles or stairs.
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It can be constructed square tiling with each square divided into four isosceles right triangles from the center point, forming an infinite arrangement of lines.
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It is constructed by congruent right triangles with 4, 6, and 16 triangles meeting at each vertex.
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Multiplication was done by mechanisms based on the geometry of similar right triangles.
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This book includes 246 problems on surveying, agriculture, partnerships, engineering, taxation, calculation, the solution of equations, and the properties of right triangles.
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In this thicker band of black there reside three 3-4-5 right triangles.
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This is due to the nature of right triangles.
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Here right triangles made from symmetry sections of regular polygons are used to calculate fundamental trigonometric ratios.
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Objects in the game are composed of isosceles right triangles, each of which is infinitely divisible into two smaller isosceles right triangles.
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It is constructed by congruent right triangles with 4, 6, and 14 triangles meeting at each vertex.
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In a perfect (or imperfect) triangled rectangle the triangles must be right triangles.
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This is derived by drawing a perpendicular line from the base of the triangle, which bisects the vertex angle and creates two right triangles.
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Sheets cut from one corner to the opposite corner provide right triangles.
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Special right triangles are right triangles with additional properties that make calculations involving them easier.
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When working with right triangles, sine, cosine, and other trigonometric functions only make sense for angle measures more than zero and less than /2.
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The presence of a right angle in a triangle is the defining factor for right triangles, making the right angles basic to trigonometry.
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The unit circle definition provides little in the way of practical calculation; indeed it relies on right triangles for most angles.
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The circular and hyperbolic trigonometric function magnitudes are all 2 times the legs of right triangles determined by the ray, circle, and hyperbola.
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Within the triangle are three small right triangles of the same proportion, outlined in gold on a black enamel background.
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The solution is particularly simple for skinny triangles that are also isosceles or right triangles: in these cases the need for trigonometric functions or tables can be entirely dispensed with.
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The kites that are also cyclic quadrilaterals (i.e. the kites that can be inscribed in a circle) are exactly the ones formed from two congruent right triangles.
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These set squares come in two usual forms, both right triangles: one with 90-45-45 degree angles, the other with 30-60-90 degree angles.
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The bases of these two right triangles are both equal to the hypotenuse times the sine of the bisected angle by definition of the term sine.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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