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Vladimir79 [104]
3 years ago
8

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Geography
1 answer:
Anarel [89]3 years ago
5 0

Answer:

13.75

Explanation:

Use the Pythagorean Theorem to find the missing side.

a^{2} + b^{2}  = c^{2}

Where a and b are sides and c is the hypotenuse (longest side)

Substitute:

a^{2} + b^{2}  = c^{2}

10^{2} + x^{2}  = 17^{2}

Solve for x:

10^{2} + x^{2}  = 17^{2}

100 + x^{2}  = 289

Subtract 100 on both sides:

100 + x^{2}  = 289

- 100         -100

x^{2} = 189

Find the square root of x^2:

x^{2} = 189

\sqrt{x^{2}}  =\sqrt{189}

x = 13.75

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