Question

Find the value of x in the triangle shown below.
9
8
Choose 1 answer:
8

Answer 1

C;
`x=√(17)`

Explanation:

To find the missing length of a right triangle, we can use the Pythagorean Theorem. This theorem states that
`a^(2)+b^(2)=c^2`, where a and b are the legs of a right triangle and c is the hypotenuse. In our problem, we are solving for one of the legs. In this problem we'll say that a=8 and b=x while c=9. Now, let's solve for x.

`a^(2)+b^(2)=c^2`

a=8

b=x

c=9

`8^2+x^2=9^2\\64+x^2=81\\x^2=17\\x=√(17)`

So, our answer must be C.

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