Question

16. Solve for "x".
a. 6
b. 100
c. 36

Answer 1

A. 6

Explanation:

Using the Pythagorean theorem which states that: Hypotenus² = Opposite² + Adjacent²

Where: hypotenus = 10, opposite = x, adjacent = 8

So:

`{10}^(2) = {x}^(2) + {8}^(2)`

Solving for x

`100 = {x}^(2) + 64`

Collect like terms to make x the subject of formula

`100 - 64 = {x}^(2) →36 = {x}^(2)`

`36 = {x}^(2) ⟹ {x}^(2) = 36`

square root both sides of the equation to find the value of x

`\sqrt{ {x}^(2) } = √(36) →x = 6`

Therefore: Option A is correct