Question

The length of the hypotenuse of a right triangle is 15 in. and one leg has length of 6 in. Find the length of the other leg.

A. 9 in.
B. 12 in.
C. square root 189 in.
D. square root 261 in

Answer 1

square root 189 i did the math and google says the same

Explanation:

Answer 2

Answer: C. square root 189 in.

Explanation:

Given : The length of the hypotenuse of a right triangle is 15 in.

The length of one leg = 6 in.

Let x be the length of other leg, then

According to Pythagoras theorem ,we have

Hypotenuse² = Perpendicular² + Base²

`\Rightarrow\ 15^2=6^2+x^2\\\Rightarrow225=36+x^2\\\Rightarrow\ x^2=225-36=189\\\Rightarrow x=√(189)\ in.`

Hence, the length of the other leg is
`√(189)\text{ in.}`

Thus , the correct answer is C. square root 189 in.