SOLUTION: The hypotenuse of a right triangle is 26 cm. The sum of the other two sides is 34 cm. Find the lengths of the other two sides of the triangle.
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Question 122718: The hypotenuse of a right triangle is 26 cm. The sum of the other two sides is 34 cm. Find the lengths of the other two sides of the triangle. Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! x^2+(34-x)^2=26^2
x^2+1156-68x+x^2=676
2x^2-68x+1156-676=0
2x^2-68x+480=0
2(x^2-34x+240)=0
2(x-24)(x-10)=0
x-24=o x=24 answer.
x-10=0
x=10 answer.
therefore the sides are 10 & 24 cm.
proof
10*2+24^2=676
100+576=676
676=676
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