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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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      Log On


   

Question 417959: 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.)
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x, x/2, (x-8), represent the sides

Question states***

  x + x/2 + (x-8) = 42m

Solving for x

5/2x = 50m

       x = 20m   x/2 = 10m  and (x-8)= 12m

Length of sides are: 10m,12m,20m



 CHECKING our Answer***

  20m + 10m + 12m = 42m