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

The legs are 8 and 15. The hypotenuse is 17. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $8^{2}$ + $15^{2}$= $17^{2}$: $8^{2}$ + $15^{2}$= $17^{2}$ -simplify exponents- 64+225=289 -add like terms- 289=289 -compare: they are equal so this is a right triangle- This is a right triangle