Question

FFind the Value of x

Answer 1

Answer: B. 5root(3)

Use Pythagorean’s theorem to solve this problem. We know one side and the hypotenuse, so we can solve for the other side.

a² + b²= c²

5² + b² = 10² (plug in 5 for one side, and 10 for the hypotenuse)

25 + b² = 100 (square 5 and 25)

b² = 75 (subtract 75 from both sides)

b=√(75) (take the square root of both sides)

b=√(25*3) (factor out a square)

b=5√(3) (simplify radical)