1. anonymous

What is the value of x? Round your answer to the nearest tenth if necessary.

2. Nnesha

Pythagorean theorem $\huge\rm a^2 + b^2 = c^2$ c is the longest side of right triangle which is hypotenuse so substitute values then solve :-)

3. anonymous

I got 89 @Nnesha

4. Nnesha

x^2 = 89 right x = what ?

5. anonymous

what?

6. Nnesha

yep what ??

7. Nnesha

Pythagorean theorem $\huge\rm (5)^2 + (8)^2 = x^2$ 25+64 = x^2 you need x not x^2

8. anonymous

oh, okay

9. anonymous

okay, I got 89=x^2?

10. Nnesha

yes right now solve for x how would you cancel square of x ?

11. anonymous

by moving the decimal?

12. Nnesha

take square root both sides to cancel square

13. anonymous

how do I do that

14. Nnesha

$\huge\rm \sqrt{x} = x^\frac{ 1 }{ 2 }$ like this so take square root of x^2 and 89