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Len [333]
3 years ago
11

If anyone knows the anwser pls tell me

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

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

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