## Geometry: Common Core (15th Edition)

The Pythagorean Theorem says that $(leg_{1}) ^{2}$+$(leg_{2})^{2}$=$hypotenuse^{2}$. This formula is more commonly referred to as $a^{2}$+$b^{2}$=$c^{2}$ You are given the lengths of the legs as 10 and 24. Substitute these values in for a and b. $a^{2}$+$b^{2}$=$c^{2}$ $10^{2}$+$24^{2}$=$c^{2}$ 100+576=$c^{2}$ 676=$c^{2}$ Take the square root of both sides to find the hypotenuse. 26=c