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Given a right triangle with a leg of 6 feet andhypotenuse of length 10 feet, find the lengthof the unknown leg.

1 Answer

3 votes

8

1) Let's sketch that to better understand it

2) In this case, we can solve it using the Pythagorean Theorem. So

a²=b²+c² Hypotenuse squared is equal to the sum of those legs squared.

Plugging into that

10²=b²+6²

100=b²+36 Subtract 36 from both sides

100-36=b²

b² =64 Take the square root on both sides

√b² =√64

b=8 The negative value -8 is ignored since dimensions can't be negative.

3) Hence the answer is 8

Given a right triangle with a leg of 6 feet andhypotenuse of length 10 feet, find-example-1
User Azium
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