Question

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Select three options. 0.5(x)(x + 2) = 24 x(x + 2) = 24 x2 + 2x – 24 = 0 x2 + 2x – 48 = 0 x2 + (x + 2)2 = 100

Answer 1

0.5x(x + 2) = 24

x² + 2x - 48 = 0

x² + (x + 2)² = 100

Explanation:

A = bh/2

A = x(x + 2)/2 = 24

0.5x(x + 2) = 24

0.5x² + x = 24

x² + 2x = 48

x² + 2x - 48 = 0

x² + (x + 2)² = 10²

x² + (x + 2)² = 100