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Flauer [41]
3 years ago
11

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

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

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.

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See picture attached.

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