SOLUTION: The perimeter of a triangle is 50 centimeters. Side b is 4 centimeters longer than side a. Side c is 9 centimeters shorter than three times the length os side a. find the length of

Question 65247: The perimeter of a triangle is 50 centimeters. Side b is 4 centimeters longer than side a. Side c is 9 centimeters shorter than three times the length os side a. find the length of each side.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
The perimeter of a triangle is 50 centimeters. Side b is 4 centimeters longer than side a. Side c is 9 centimeters shorter than three times the length os side a. find the length of each side.
Let side a be: a
Then side b is: a+4
and side c is: 3a-9
Perimeter is 50 means that if we add the sides, we get 50.
Problem to solve:
(a)+(a+4)+(3a-9)=50
5a-5=50
5a-5+5=50+5
5a=55
5a/5=55/5
a=11
Side a is: a=11 cm
side b is: a+4=11+4=15 cm
side c is: 3a-9=3(11)-9=33-9=24 cm
:
Sanity check:
If we add all the sides together, do we get 50 cms?
11+15+24=50 ?
50=50
It appears that we're sane.
Happy Calculating!!!!
RELATED QUESTIONS
The perimeter of a triangle is 65 centimeters. The longest side is 7 centimeters longer... (answered by macston)

The perimeter of a triangle is 60 centimeters. One side is 6 centimeters shorter than the (answered by drk)

The perimeter of a triangle is 50 centimeters. The longest side is 2 centimeters longer... (answered by scott8148)

1.) The perimeter of a triangle is 76 centimeters. The second side is twice as long as... (answered by haileytucki,mananth)

the perimeter of a triangle is 32 centimeters. The first side is 3cm longer than the... (answered by Paul)

The perimeter of a triangle is 26 centimeters. Side A of the triangle is 3 centimeters... (answered by Paul)

I have a test tomorrow and i'm having trouble understanding this question. Please help... (answered by addingup)

One side of a triangle is four centimeters longer than the shortest side. The third side (answered by orca)

What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side? a-40 (answered by ILAxbaseballx720)