ryleesommerfelt ryleesommerfelt
  • 17-05-2019
  • Mathematics
contestada

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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