# SOLUTION: One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 42 meters. Find all three sides. (Enter your answers from s

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 Question 418733: One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 42 meters. Find all three sides. (Enter your answers from smallest to largest.) ? meters ? meters ? meters Can you show me each step to get the answer?Found 2 solutions by ewatrrr, MRperkins:Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi One side of a triangle is half the longest side. The third side is 8m less than the longest side Let x,x/2 and (x-8m) represent these sides Question states*** x + x/2 + (x-8m) = 42m Solving for x 5/2x = 50m x = 20m, the longest side. The other two are 10m and 12m Three sides are: 10m,12m and 20m CHECKING our Answer*** 10m + 12m + 20m = 42m ```Answer by MRperkins(300)   (Show Source): You can put this solution on YOUR website!I am currently answering problems at: http://vyew.com/room#/365877/algebra.com or you can email me at justin.sheppard.tech at hotmail.com. Let the longest side be x (we need to label it so we have somewhere to start). Then the other sides are 8 less than x or just x-8 and half of x or 1/2 x so we have 3 sides, x, 1/2 x and x-8. The perimeter is the distance around the triangle or the sum of the 3 sides and we are told that it is 42 meters. Therefore, Combine your x and you get Add 8 to both sides and you get 2.5x=50 and x=20 meters then plug in x to find out the side lengths.