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adell [148]
3 years ago
9

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.

Mathematics
2 answers:
liq [111]3 years ago
5 0

Answer:

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

Step-by-step explanation:

Gwar [14]3 years ago
4 0

Answer: C. square root 189 in.

Step-by-step explanation:

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

The length of one leg = 6 in.

Let <em>x </em>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=\sqrt{189}\ in.

Hence, the length of the other leg is \sqrt{189}\text{ in.}

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

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