One leg in a right triangle is 5 and the hypotenuse is 13. What is the length of the other leg?

Feb 23, 2016

We can just use simple pythagorean theorem on this problem

We know that a leg is 5 and a hypotenuse is 13, so we plug in

${a}^{2} + {b}^{2} = {c}^{2}$ where c is the hypotenuse and a and b are the legs

${5}^{2} + {b}^{2} = {13}^{2}$

And we solve for b, the missing leg

$25 + {b}^{2} = 169$

${b}^{2} = 144$

Take the positive square root and we find that

$b = 12$

The length of the other leg is 12