## Algebra 1: Common Core (15th Edition)

The legs are 50 and 120 and the hypotenuse is 130. Plug them into the Pythagorean theorem to determine if they are equal $a^{2}$ + $b^{2}$= $c^{2}$-->$50^{2}$ + $120^{2}$= $130^{2}$: $50^{2}$ + $120^{2}$= $130^{2}$ -simplify the exponents- 2500+14400=16900 -add like terms- 16900=16900 -Compare,they are equal so this is a right triangle- Yes, they are right angles.