Problema Solution

a brace for a shelf has the shape of a right triangle. its hypotenuse is 8 inches long and the two legs are equal in length. how long are the legs of the triangle?

Answer provided by our tutors

let


a = the length of each leg, a>0


c = 8 in the length of the hypotenuse


using the Pythagorean Theorem we know:


a^2 + a^2 = c^2


2a^2 = c^2


2a^2 = 8^2


by solving we find:


a = 5.66 in approximately


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the legs of the triangle are 5.66 inches each.