Question

Someone explain how to do this please

A: square root of 96
B: square root of 48
C:square root of 16
D:8

Answer 1

B. Square root of 48

Explanation:

Using Pythagorean theorem. A^2 = B^2 + C^2

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = square root of 48

Answer 2

You start by using the bottom side and dividing it by 2 as it is separated by a bisector making both sides equal. This isolates one triangle making the sides 4, 8, and x. You then use Pythagorean theorem and solve for x.

8 squared - 4 squared = 48
The next step is getting the square root of the result. Thus revealing B as the answer.