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Find the length of the missing side. Leave your answer in simplest radical form.

Find the length of the missing side. Leave your answer in simplest radical form.-example-1

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Answer:

the missing leg length is 2√70.

Explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft. Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.

User Dan Barclay
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