If a, B, C are three sides of a right triangle, C is hypotenuse and a & sup2; + B & sup2; - 6a-8b + 25 = 0, try to find the value of C | Math enthusiast | Mathematical art

If a, B, C are three sides of a right triangle, C is hypotenuse and a & sup2; + B & sup2; - 6a-8b + 25 = 0, try to find the value of C

From a & # 178; + B & # 178; - 6a-8b + 25 = (A-3) 2 - (B-4) 2 = 0: a = 3, B = 4. So C2 = A & # 178; + B & # 178; = 25. C = 5

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