SOLUTION: The Perimeter of a Triangle is 42 inches the second side is 1 inch more than twice the first side and the third side is 1 inch less than 3 times the first side. Find the lengths of

Algebra ->  Triangles -> SOLUTION: The Perimeter of a Triangle is 42 inches the second side is 1 inch more than twice the first side and the third side is 1 inch less than 3 times the first side. Find the lengths of      Log On


   

Question 325185: The Perimeter of a Triangle is 42 inches the second side is 1 inch more than twice the first side and the third side is 1 inch less than 3 times the first side. Find the lengths of the 3 sides of the triangle.
I need an inequality set up.
P=42
would my inequality be: x>1(2x + side 1) x>1(3x side 1)??
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
S2=2*S1+1
S3=3*S1-1
P=S1+S2+S3
42=S1+2*S1+1+3*S1-1
42=6*S1
S1=42/6
S1=7 ANS. FOR S1.
S2=2*7+1=14+1=15 ANS FOR S2.
S3=3*7-1=21-1=20 ANS. FOR S3.
PROOF:
42=7+15+20
42=42