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14002: Proportions in a right triangle
... • altitude of a triangle: The altitude of a triangle is a perpendicular line segment from a vertex of the triangle to the line of the opposite side. • Theorem 1: The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle. In the ...
... • altitude of a triangle: The altitude of a triangle is a perpendicular line segment from a vertex of the triangle to the line of the opposite side. • Theorem 1: The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle. In the ...
Mathematics and architecture
Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.