SOLUTION: please help me solve this problem: The perimeter of a triangle is 51 inches. side A is one inche greater than side C. Side B is twice as long as side A. Find the longest side.

Question 220428: please help me solve this problem:
The perimeter of a triangle is 51 inches. side A is one inche greater than side C. Side B is twice as long as side A. Find the longest side.
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!
First, lets write all the lengths in terms of side A, since the relations all go back to it.
So, Side C:

Side B:

Side A:

So, we knew that . However, know we have what C and B are, so we can rewrite:

Move the 1 to the other side and combine the terms:

Divide both sides by 4
.
Substituting back in for C & B give us:
, .
The longest side is then .
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