SOLUTION: One side of a triangle is twice as long as the second and the third side if four less than three times the second side. Perimeter is 38 cm. Find the lengths of the sides.

Algebra ->  Equations -> SOLUTION: One side of a triangle is twice as long as the second and the third side if four less than three times the second side. Perimeter is 38 cm. Find the lengths of the sides.      Log On


   



Question 655212: One side of a triangle is twice as long as the second and the third side if four less than three times the second side. Perimeter is 38 cm. Find the lengths of the sides.
Answer by shweta(56) About Me  (Show Source):
You can put this solution on YOUR website!
Let the three sides be x, y, z
x = 2y ..1
z = 3y-4 ..2
Perimeter ,P= x+y+z
Substitute the value of x and z
P = 2y+y+3y-4
38 = 6y -4
38+4 = 6y
42 =6y
y=42/6
y=7
one side is 7cm
x=2y
x=2*7
x=14
z= 3y-4
z= 3*7 -4
z= 21 -4
z= 17
Three sides are7cm ,17 cm and 14cm