25√2
Step-by-step explanation:
Since angle BAC and angle ABC are equal, AB = BC.
Let x = AB = BC
By the Pythagorean theorem,
AB² + BC² = AC²
x² + x² = 50²
2x² = 2500
x²= 1250
x = √1250
x = √(2 • 625)
x = √2 • √625
x = √2 • 25
x = 25√2
x = AB = 25√2
