Which equations can be used to find the lengths of the legs of the triangle? Choose three correct answers.

The legs are represented by x and x + 2, and the triangle has area 24 and hypotenuse 10. Using the Pythagorean theorem gives x² + (x + 2)² = 100, which is choice C. Using the area formula gives 0.5x(x + 2) = 24, choice E; expanding and rearranging gives x² + 2x − 48 = 0, choice B. These equations give x = 6, so the leg lengths are 6 and 8.

AI-written and checked against the verified answer.