SOLUTION: Please help me solve this question: Each of two sides of a triangle is 8 inches longer than the third side. The perimeter is 43 inches. How long is each side of the triangle?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this question: Each of two sides of a triangle is 8 inches longer than the third side. The perimeter is 43 inches. How long is each side of the triangle?      Log On


   

Question 906627: Please help me solve this question: Each of two sides of a triangle is 8 inches longer than the third side. The perimeter is 43 inches. How long is each side of the triangle?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's the third side be a
given: each of two+sides (b and c)of a triangle is 8in longer than the third side a ; that means the other two sides are same length, so
b=a%2B8in and c=a%2B8in)
if the perimeter is P=43in, than we have

P=a%2Bb%2Bc
43in=a%2Bb%2Bc .... substitute b and c
43in=a%2Ba%2B8in%2Ba%2B8in
43in=3a%2B16in
43in-16in=3a
27in=3a
27%2F3in=a
highlight%289in=a%29
now find b and c
b=a%2B8in
b=9in%2B8in
highlight%28b=17in%29

and
c=a%2B8in
c=9in%2B8in
highlight%28c=17in%29
check:
P=a%2Bb%2Bc
43in=9in%2B17in%2B17in
43in=43in