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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
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).
Regiomontanus' angle maximization problem; Reuschle's theorem; Right triangle; Routh's theorem; Scalene triangle; Schwarz triangle; Schiffler's theorem; Sierpinski triangle (fractal geometry) Similarity (geometry) Similarity system of triangles; Simson line; Special right triangles; Spieker center; Spieker circle; Spiral of Theodorus; Splitter ...
The crossed ladders problem is a puzzle of unknown origin ... 70, 42, 105, 16, 40, 56, 30). Such solutions involve Pythagorean triples for the two right triangles ...
The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent ...
Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.