Answer:
z = 156
Step-by-step explanation:
y² = 65²-25² = 4225 - 625 = 3600
(x+25)²-65² = z²
x²+50x+625-4225 = z²
x²+50x-3600 = z² ....(1)
x²+60² = z²
x²+3600 = z² ....(2)
(1)-(2): 50x - 7200 = 0
50x = 7200
x = 144
check: x² + y² = z² 144² + 60² = 24336 = z² z = 156
(25+144)²-65² = z² = 28561 - 4225 = 24336 z = 156
