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

The legs are 60 and 80. The hypotenuse is 100. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $60^{2}$ + $80^{2}$= $100^{2}$: $60^{2}$ + $80^{2}$= $100^{2}$ -simplify exponents- 3600+6400=10000-add like terms- 10000=10000 -compare: they are equal so this is a right triangle- This is a right triangle