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

A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100

Explanation:

A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.

E, on the other hand, uses the Pythagorean theorem to solve for both legs.