SOLUTION: The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle.
The answer is 9 and 12, but I don
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-> SOLUTION: The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle.
The answer is 9 and 12, but I don
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Question 926940: The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle.
The answer is 9 and 12, but I don't know how to get it.
Thanks!! Found 2 solutions by Alan3354, stanbon:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The hypotenuse of a right triangle is 15 cm. The sum of the other two sides is 21 cm. find the lengths of the other two sides of the triangle.
The answer is 9 and 12, but I don't know how to get it.
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Sketch a picture of a right triangle with hypo = 15, one side
= x cm; the other side = 21-x cm.
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Equation::
x^2 + (21-x)^2 = 15^2
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x^2 + 21^2 - 42x + x^2 = 225
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2x^2 - 42x + 21^2-225 = 0
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2x^2 - 42x + 216 = 0
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x^2 - 21x + 108 = 0
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x = 9 ; 21-9 = 12
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Cheers,
Stan H.
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