Question

Find the value of x in the triangle shown below.

Answer 1

the answer is D

using the pythagorean theorem (a^2 + b^2 = c^2) you can solve for x
if you plug in the numbers into the equation, you end up with 6^2 + b^2 =10^2. simplifying this you end up with 36 + b^2 = 100. if you subtract 36 from 100 you get 64.
√64 is 8.

Answer 2

`D.\hspace{8}x=8`

Explanation:

Use the Pythagorean theorem which states that in every right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. So, if in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relationship is true:

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

In this case, let:

`c=10\\\\a=x\\\\b=6`

Hence:

`10^2=x^2+6^2\\\\100=x^2+36`

Solving for x:

`x^2=100-36\\\\x^2=64\\\\`

`√(x^2) =√(64)\\\\x=8`

Therefore, the value of x in the triangle is 8