SOLUTION: an isosceles triangle has a perimeter of 82cm and the length of the legs are represented by (3x+2) and (5x-14). What is the length of the base of the triangle?

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Question 180087: an isosceles triangle has a perimeter of 82cm and the length of the legs are represented by (3x+2) and (5x-14). What is the length of the base of the triangle?
Answer by stanbon(75887) About Me  (Show Source):
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an isosceles triangle has a perimeter of 82cm and the length of the legs are represented by (3x+2) and (5x-14). What is the length of the base of the triangle?
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base = 82 -(3x+2)-(5x-14)
base = 82-8x+12
base = 94-8x
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Since 3x+2=5x-14
3x = 16
x = 16/3
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Therefore base = 94-8(16/3) = 51 1/3 cm
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Cheers,
Stan H.
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Cheers,
Stan H.