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The hypotenuse of a right triangle measures 20 feet and one leg measures 16 feet what is the measure of the other leg?
Wiki User
∙ 14y ago
The measure of the other leg is 12 feet.
Use Pythagorean's theorem for right triangles: a2 + b2 = c2 where c is the length of the hypotenuse and a and b are the respective lengths of the legs of the triangle.
Since the hypotenuse is 20 ft, c = 20 ft. We are also given that one of the legs is 16 ft, so a = 16 ft. We want to solve for the other leg, b.
Algebraically manipulating Pythagorean's theorem, we get: c2 - a2 = b2.
When we plug in the known values, this equation becomes: 202 - 162 = 144 = b2.
Thus, b = √(144) = 12 ft.
Wiki User
∙ 14y ago
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