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What is the perimeter of a right triangle with a 34 inch hypotenuse and a 1 foot leg? Write your answer in inches in simplest form.

 Mar 30, 2021

Best Answer 

 #1
avatar+544 
+1

1 foot = 12 inches.

This means the other leg is: \(\sqrt{34^2-12^2} = \sqrt{1012} = 2\sqrt{253}\)

 

Which means the perimeter of this triangle is 

\(2\sqrt{253} + 12 + 34 = 46 + 2\sqrt{253} ≈ 77.81\)

 

So your answer is 46 + 2√253 inches, or aboutt 77.81 inches

 Mar 30, 2021
 #1
avatar+544 
+1
Best Answer

1 foot = 12 inches.

This means the other leg is: \(\sqrt{34^2-12^2} = \sqrt{1012} = 2\sqrt{253}\)

 

Which means the perimeter of this triangle is 

\(2\sqrt{253} + 12 + 34 = 46 + 2\sqrt{253} ≈ 77.81\)

 

So your answer is 46 + 2√253 inches, or aboutt 77.81 inches

Logarhythm Mar 30, 2021

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