Question

Solve for x (see image)

Answer 1

x = 18

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 24^2 = ( 12+x)^2

FOIL the right side

x^2 +576 = 144 + 24x + x^2

Subtract x^2 from each side

576 = 144 + 24x

Subtract 144 from each side

576-144 = 24x

432 = 24x

Divide each side by 24

432/24 = 24x/24

18=x