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 three times the first side. Find the len

Question 328811: 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 three times the first side. Find the lengths of the three side of the triangle.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
p=a+b+c
b=2a+1
c=3a-1
42=a+2a+1+3a-1
42=6a
6a=42
a=42/6
a=7 ans. for the first side.
b=2*7+1=14+1=15 ans. for the second side.
c=3*7-1=21-1=20 ans. for the third side.
Proof:
7+15+20=42
42=42
RELATED QUESTIONS
the perimeter of a triangle is 42 inches. the second side is 1 inch more than twice the... (answered by Leaf W.)

The Perimeter of a Triangle is 42 inches the second side is 1 inch more than twice the... (answered by checkley77)

The perimeter of a triangle is 120 inches. If one side is twice the second side and the... (answered by marcsam823)

The perimeter of a triangle is 60 inches. The second side is 10 inches longer than the... (answered by usyim88hk)

The perimeter of a triangle is 75 inches. One side of a triangle is 10 inches more than... (answered by Alan3354,ikleyn)

The second side of a triangle is 8 inches less than the first side. The third side is... (answered by richwmiller)

Really not good at word problems can anyone help me? Suppose that the length of a... (answered by ewatrrr,lwsshak3)

The second side of a triangle is 3 more meters than the first side. The third side is... (answered by mathstutor494)

The perimeter of a triangle is 43 inches. The second side is three inches longer than the (answered by wuwei96815)