Question

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

Answer 1

Answer:

A. 6

Step-by-step 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

$\sqrt{ {x}^{2} } = \sqrt{36} →x = 6$

Therefore: Option A is correct