SOLUTION: is there a formula to figure out the sides of a triangle, when the perimeter equals 76 cm. the 2nd side is 2x the 1st side and the 3rd side is 4 cm shorter than the the 2nd side. p

Algebra ->  Algebra  -> Proofs -> SOLUTION: is there a formula to figure out the sides of a triangle, when the perimeter equals 76 cm. the 2nd side is 2x the 1st side and the 3rd side is 4 cm shorter than the the 2nd side. p      Log On

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Question 209979: is there a formula to figure out the sides of a triangle, when the perimeter equals 76 cm. the 2nd side is 2x the 1st side and the 3rd side is 4 cm shorter than the the 2nd side. please help.
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
The perimeter of a triangle is equal to the sum of the lengths of the three sides, so...
P = 2x+(2x-4)+(2x-4) Combine the x's.
P = 6x-8 Substitute P = 76.
76 = 6x-8 Add 8 to both sides.
84 = 6x Divide both sides by 6.
x = 14
2x = 28
2x-4 = 24
The three sides are:
28cm, 24cm, and 24cm.