Question

Solve for x. Leave your answer in the simplest radical form.

Answer 1

x = 2
`√(5)`

Explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x =
`√(20)`

x =
`√(4)`·
`√(5)`

x = 2
`√(5)`