Question

Triangle abc is a right traingle if side ac=7 and side bc= 10 what is the measure of ab?

Answer 1

Use the Pythagorean theorem for the right triangle $ABC,$ where

$AB$ is the hypotenuse of the triangle;

$AC$ and $BC$ are the other two sides.


So,

$(AC)^{2}+(BC)^{2}=(AB)^{2}\\\\ 7^{2}+10^{2}=(AB)^{2}\\\\ (AB)^{2}=49+100\\\\ (AB)^{2}=149\\\\ AB=\sqrt{149}$