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

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

Answer by MathLover1(20850) (Show Source): 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:

RELATED QUESTIONS
In a triangle, the middle length side is 3 more than the shortest side, and the longest... (answered by shree840)
In a triangle, the middle length side is 3 more than the shortest side, and the longest... (answered by ewatrrr)
A triangle has perimeter of 115 cm. The longest side is twice as long as the shortest... (answered by Alan3354)
right triangle.the longest side of a right triangle is 3 inches less than twice the... (answered by checkley71)
The longest side of a right trangle is 3 less than twice the shortest side. The third... (answered by checkley71)
A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest... (answered by solver91311,jackiewalker123,Alan3354)
a triangle has a perimeter of 53 in . the shortest side of triangleis two more than... (answered by lwsshak3)
The shortest side of a triangle is 8 inches less than the medium side, and the longest... (answered by rfer)
the length of the longest side of a triangle is double that of the next longest side and... (answered by mananth)