Question

The length of the hypotenuse of a right triangle is34 inches and the length of one of its legs is 16inches. What is the length, in inches, of the other leg of this right triangle? 1) 16 2) 18 3) 25 4) 30

Answer 1

4) 30.

Explanation:

We can find the other leg of the right triangle by using the Pythagorean Theorem formula.

`formula-a^2+b^2=c^2`

`legs-a,b`

`hypotenuse-c`

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Remember, the legs of the triangle are the sides that form the right angle. The hypotenuse is the longest side of the triangle.

Here, I am solving for one of the legs.

`16^2+b^2=34^2`

`256+b^2=1156`

`1156-256=900`

`b^2=900`

`b=30.`

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Therefore, the length of the second leg is 30 inches.

Answer 2

30 inches

Explanation:

16^2 + x^2 = 34^2

256 + x^2 = 1156

X^2 = root 900

X = 30