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Solve for x. Leave your answer in simplest radical form.

Solve for x. Leave your answer in simplest radical form.-example-1
User Cleyton
by
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2 Answers

10 votes

Answer:
2√(3)

Explanation:

Use pytha. theorem on leftmost triangle and get sqrt(13)

Use it again on the other triangle: 13+b^2=25

User Erica Kane
by
8.0k points
10 votes

First, we find the hypotenuse of the first triangle

(Use the pythagorean theorem) :

3^(2) + 2^(2) = 9 + 4 = 13

So, the length of the side =
√(13)

Now, we find x :

x(squared) =

5^(2) -√(13) ^(2) = 25 - 13 = 12

-> x =
√(12) = 2
√(3)

User Paul Baltescu
by
8.5k points

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