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Pythagoras

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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

#1
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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

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

Mar 30, 2021

#1
+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

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