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  2. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio.

  3. Right triangle - Wikipedia

    en.wikipedia.org/wiki/Right_triangle

    A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).

  4. Set square - Wikipedia

    en.wikipedia.org/wiki/Set_square

    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. Combining the two forms by placing the hypotenuses together will also yield 15° and 75° angles. They are often purchased in packs with protractors and compasses.

  5. Glossary of architecture - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_architecture

    The structure that tops a pyramid in monumental Mesoamerican architecture (also common as a decorative embellishment on the ridge of metal roofs of some domestic Gothic-style architecture in America in the 19th century). Rotunda A large and high circular hall or room in a building, usually but not always, surmounted by a dome.

  6. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The 3-orthoscheme is a tetrahedron having two right angles at ... Two equal scalene triangles with a common ... chemical engineering, naval architecture and ...

  7. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    Each half-rectangle is then a convenient 3:4:5 right triangle, enabling the angles and sides to be checked with a suitably knotted rope. The inner area (naos) similarly has 4:9 proportions (21.44 metres (70.3 ft) wide by 48.3 m long); the ratio between the diameter of the outer columns, 1.905 metres (6.25 ft), and the spacing of their centres ...

  8. Spiral of Theodorus - Wikipedia

    en.wikipedia.org/wiki/Spiral_of_Theodorus

    The spiral is started with an isosceles right triangle, with each leg having unit length.Another right triangle (which is the only automedian right triangle) is formed, with one leg being the hypotenuse of the prior right triangle (with length the square root of 2) and the other leg having length of 1; the length of the hypotenuse of this second right triangle is the square root of 3.

  9. Pediment - Wikipedia

    en.wikipedia.org/wiki/Pediment

    In ancient architecture, a wide and low triangular pediment (the side angles 12.5° to 16°) typically formed the top element of the portico of a Greek temple, a style continued in Roman temples. But large pediments were rare on other types of building before Renaissance architecture. [2]