Web Reference: Special right triangles are those right-angled triangles whose interior angles are fixed and whose sides are always in a defined ratio. There are two types of special right triangles, one which has angles that measure 45°, 45°, 90°; and the other which has angles that measure 30°, 60°, 90°. Learn shortcut ratios for the side lengths of two common right triangles: 45°-45°-90° and 30°-60°-90° triangles. The ratios come straight from the Pythagorean theorem. Two very special right triangle relationships will continually appear throughout the study of mathematics: 1. 45-45-90Triangle 2. 30-60-90Triangle In an isosceles right triangle, the angle measures are 45°-45°-90°, and the side lengths create a ratio where the measure of the hypotenuse is sqrt(2) times the measure of each leg as seen in the diagram...
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