SOLUTION: The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The length of the longest side is a)52 cm b)48 cm c)32cm d)26cm

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Question 138301: The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The length of the longest side is
a)52 cm b)48 cm c)32cm d)26cm
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sides of a triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104 cm.The length of the longest side is
a)52 cm b)48 cm c)32cm d)26cm
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Sides are x/2. x/3, x/4
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EQUATIONS:
x/2 + x/3 + x/4 = 104
Multiply thru by 12 to get:
6x + 4x + 3x = 12*104
13x = 12*104
x = 96
Longest side is x/2 = 48
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Cheers,
Stan H.