ryleesommerfelt ryleesommerfelt
  • 17-05-2019
  • Mathematics
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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 class=

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altavistard
altavistard altavistard
  • 17-05-2019

Answer:

the missing leg length is 2√70.

Step-by-step 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.

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