Answer:
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.
