SOLUTION: One side of a triangular lot is 10m less than twice the length of the second side. The third side is 9m shorter than the first. The perimeter of the lot is 61m. How long is the sho

Question 1019828: One side of a triangular lot is 10m less than twice the length of the second side. The third side is 9m shorter than the first. The perimeter of the lot is 61m. How long is the shortest side?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make the second side = 'x'
First side = 2x - 10
Third side = 2x - 19
Perimeter = 61m
x + (2x - 10)+ (2x - 19) = 61
x + 2x - 10 + 2x - 19 = 61
Collect like terms
x + 2x + 2x = 61 + 10 + 19
5x = 90
x = 18m
First side = 26m
Second side = 18m
Third side = 17m
Hope this helps :-)
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