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There is a special relationship among the measures of the sides of a triangle.
A triangle is commonly encountered right triangle whose sides are in the proportion . The measures of the sides are , , and .In a triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is times the length of the shorter leg.
To see why this is so, note that by the Converse of the Pythagorean Theorem, these values make the triangle a right triangle.