SOLUTION: The perimeter of a triangle is 24 feet. The second side is 2 feet longer than the first side. The third side is 2 feet longer than the second. What are the lengths of each side of

Algebra ->  Triangles -> SOLUTION: The perimeter of a triangle is 24 feet. The second side is 2 feet longer than the first side. The third side is 2 feet longer than the second. What are the lengths of each side of       Log On


   



Question 348316: The perimeter of a triangle is 24 feet. The second side is 2 feet longer than the first side. The third side is 2 feet longer than the second. What are the lengths of each side of the triangle?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
P=24 ft.
S2=S1+2FT.
3S=S2+2FT.
P=S1+S2+S3
24=S1+(S1+2)+(S1+2+2)
24=3S1+6
2S1=24-6
3S1=18
S1=18/3
S1=6 FT ANS. FOR SIDE 1.
S2=6+2=8 FT FOR SIDE 2.
S3=8+2=10 FT. FOR SIDE 3.
PROOF.
24=6+8+10
24=24