Question

The Pythagorean Theorem is an equation that helps you to find the lengths of a right triangle. The legs are given as a and b while the hypotenuse is labeled in the theorem's formula: a2+b2=c2 If you know the hypotenuse is 25 and one leg is 7, find the length of the other leg.

Answer 1

Replace a with the length of the given leg and c with the length of the hypotenuse and solve for b:

7^2 + b^2 = 25^2

Simplify"

49 + b^2 = 625

Subtract 49 from each side:

b^2 = 625 - 49

b^2 = 576

Take the square root of both sides to solve for b:

b = √576

b = 24