SOLUTION: The perimeter of a scalene triangle is double the length of the longest side. The long side is 4 more than 4 times the short side. The middle side is 8 units less than the long s
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Question 913807: The perimeter of a scalene triangle is double the length of the longest side. The long side is 4 more than 4 times the short side. The middle side is 8 units less than the long side. Find the length of all the sides.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x, short side
y, mid side
z, longest side
perimeter, x+y+z
Substitute for z in the perimeter and y equations and simplify (steps not shown here):
Resulting system,
Subtracting one equation from the other, find that .
Use x to find value of z:
Use that z to find y value:
Side lengths from shortest to longest: 8, 28, 36.
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