Question

Use Pythagorean Theorem to solve for x. HELP ME PLZZZZ!!!! ASAP

Answer 1

Answer: $2\sqrt{22}$

Step-by-step explanation:

Pythagorean theorem: $a^{2} +b^{2} = c^{2}$, where a and b are the legs and c is the hypotenuse.

We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.

$9^{2} +b^{2} = 13^{2}$

$81 +b^{2} = 169$

Since we don't know what $b^{2}$ is, we're going to isolate it by subtracting 81 on both sides

$b^{2} = 88$

We have to square root both sides in order to find out b (or x in the problem).

$\sqrt{b^{2}} = \sqrt{88}$

When you put this on a calculator it would result in $2\sqrt{22}$ which is the answer d in the problem.