SOLUTION: The perimeter of a triangle is 60 centimeters. One side is 6 centimeters shorter than the second side. The third side is 6 centimeters shorter than triple the length of the first s

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The perimeter of a triangle is 60 centimeters. One side is 6 centimeters shorter than the second side. The third side is 6 centimeters shorter than triple the length of the first s      Log On


   

Question 269843: The perimeter of a triangle is 60 centimeters. One side is 6 centimeters shorter than the second side. The third side is 6 centimeters shorter than triple the length of the first side. Find the length of each side
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter formula is
P+=+a+%2B+b+%2B+c
from above, we get
P+=+60
a+=+b+-+6
c+=+3a+-+6
----------
putting all of this together we get
60+=+b+-+6+%2B+b+%2B+3b+-+24
combine like terms and we get
60+=+5b+-30
add 30 to get
90+=+5b
divide by 5 to get
b+=+18
this means that
a+=+12
c+=+30