SOLUTION: The perimeter of a triangle is 74 inches. The second side is 2 inches more than twice the first side, and the third side is 6 inches less than three times the first side. Find the

Algebra ->  Triangles -> SOLUTION: The perimeter of a triangle is 74 inches. The second side is 2 inches more than twice the first side, and the third side is 6 inches less than three times the first side. Find the       Log On


   

Question 1017291: The perimeter of a triangle is 74 inches. The second side is 2 inches more than twice the first side, and the third side is 6 inches less than three times the first side. Find the lengths of the three sides of the triangle.
Length of Sides (in inches) (separate with commas):
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the first side x.
Then, the problem says:
The second side is 2 inches more than twice the first side:
Second side = 2x+2
and the third side is 6 inches less than three times the first side:
Third side = 3x-6
The perimeter is the sum of the lengths of all sides, so in this case we get:
x+2x+2+3x-6 = 74 Add all x on left and also add 2 and -6:
6x-4 = 74 Add 4 on both sides
6x = 78 Divide both sides by 4:
x = 13 is the first side
Second side 2(13)+2
Third side 3(13)-6
Use your calculator.
J