SOLUTION: A triangle has a perimeter of 42m. The longest side is 2m less than the sum of the other 2 sides and 4 times the shortest side is 32m more than the difference between the 2 longer

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 42m. The longest side is 2m less than the sum of the other 2 sides and 4 times the shortest side is 32m more than the difference between the 2 longer       Log On


   

Question 1025645: A triangle has a perimeter of 42m. The longest side is 2m less than the sum of the other 2 sides and 4 times the shortest side is 32m more than the difference between the 2 longer sides. What are the lengths of the 3 sides of the triangle?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB%2BC=42
.
.
C=%28A%2BB%29-2
2.A%2BB-C=2
.
.
4A=32%2B%28C-B%29
3.4A%2BB-C=32
Add 1 and 2,
A%2BB%2BC%2BA%2BB-C=42%2B2
2A%2B2B=44
3.A%2BB=22
Add 1 and 3,
A%2BB%2BC%2B4A%2BB-C=42%2B32
4.5A%2B2B=74
Multiply 3 by 2 and subtract from 4,
5A%2B2B-2A-2B=74-44
3A=30
A=10
Then,
10%2BB=22
B=12
and finally,
10%2B12%2BC=42
C=20