SOLUTION: the perimeter of a triangle is 71cm. the first side is 3cm shorter than the second side, and the third side is twice as long as the first side. find the length of the longest side

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Question 479110: the perimeter of a triangle is 71cm. the first side is 3cm shorter than the second side, and the third side is twice as long as the first side. find the length of the longest side
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is the first side
Then the second side is %28x%2B3%29cm, the third side is 2x cm, so the perimeter is x%2B%28x%2B3%29%2B2x=71
x%2Bx%2B3%2B2x=71
4x=71-3
4x=68
x=68%2F4
x=17
The first side is 17cm, the second side is %2817%2B3%29=20cm, the third is 2%2A17=34cm
The length of the longest side is 34cm