Once you have determined the correct values of a, b, and c, verify algebraically that daredevil danny will successfully pass through the flaming hoop jump of awesome.

15

Step-by-step explanation:

If x is the shorter leg, then x + 5 is the longer leg, and 2x − 5 is the hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

(2x − 5)² = x² + (x + 5)²

4x² − 20x + 25 = x² + x² + 10x + 25

4x² − 20x + 25 = 2x² + 10x + 25

2x² − 30x = 0

x² − 15x = 0

x (x − 15) = 0

x = 0 or 15

Since x can't be 0, x must be 15.