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

For the following right triangle, find the side length x. Round your answer to the-example-1
User Da
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1 Answer

2 votes

Answer:

13.75

Step-by-step 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)} =√(189)

x = 13.75

User Aleator
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