SOLUTION: In a triangle, the longest side is double the shortest side and the third side is 3 cm less than the longest side. If the perimeter of the triangle is 57 cm, find all sides of the
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Question 525641: In a triangle, the longest side is double the shortest side and the third side is 3 cm less than the longest side. If the perimeter of the triangle is 57 cm, find all sides of the triangle Found 2 solutions by Maths68, MathLover1:Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website! Let
Shortest side = x cm
Longest side = 2x cm
Third side = 2x-3 cm
Given
Perimeter = 57cm
Longest side + Shortest side + Third side = Perimeter of Triangle
2x+x+(2x-3)=57
3x+2x-3=57
5x=57+3
5x=60
x=60/5
x=12
Shortest side = x = 12 cm
Longest side = 2x = 12*2= 24 cm
Third side = 2x-3 cm = 24 - 3 = 21 cm
You can put this solution on YOUR website!
let sides be , and where is the longest side and is the shortest side
and the perimeter
given:
the longest side is double the shortest side:
and the third side is less than the longest side
........
If the perimeter of the triangle is ,than
...since , we have
....now find and
check:
