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Pythagorean theorem help? I have to find the missing leg. 8 squared + a squared = 10 squared (sorry- I'm not very technologically savvy)

 Dec 15, 2014

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 #1
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It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse. The equation is $$a^2+b^2=c^2$$, and c is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get $$8^2+b^2=10^2$$. Therefore, $$64+b^2=100$$ and $$b^2=36$$. By square rooting both sides we finally reach the answer b=6.

 Dec 15, 2014
 #1
avatar
+5
Best Answer

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse. The equation is $$a^2+b^2=c^2$$, and c is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get $$8^2+b^2=10^2$$. Therefore, $$64+b^2=100$$ and $$b^2=36$$. By square rooting both sides we finally reach the answer b=6.

Guest Dec 15, 2014

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