Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 617: 29

C=10 ft

The legs are 8 and 6. You have to find the hypotenuse so you plug in a and b into the Pythagorean theorem: $a^{2}$ + $b^{2}$= $c^{2}$ --> $8^{2}$ + $6^{2}$ = $c^{2}$: $8^{2}$ + $6^{2}$ = $c^{2}$ -solve the exponents- 64+36= $c^{2}$ -add like terms- 100= $c^{2}$ -fnd the square root for 100 to find c- 10=c C is 10 ft