Question

15. Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long. A. 36 ft. B. √ 41 ft. C. 12.81 ft. D. 6 ft.

Answer 1

Using the Pythagorean theorem a^2 + b^2 = C^2

a and B are the sides and c is the hypotenuse.

8^2 + b^2 = 10^2

64 + b^2 = 100
b^2 = 100-64
b^2 = 36

b = SQRT(36)

b = 6

The answer is D.

Answer 2

Hello!

The Pythagorean Theorem is a²+b²=c², where a and b are the legs are a and b, and the hypotenuse is c. Since we already have the hypotenuse we will subtract the squares to find a.

100-64=36
√36=6

The length of the other leg is 6 feet.

I hope this helps!