SOLUTION: The lengths of the sides of a triangle are represented by three consecutive even integers. If the perimeter of the triangle is 96 feet, find the lengths of its sides.

Question 1096294: The lengths of the sides of a triangle are represented by three consecutive even integers. If the perimeter of the triangle is 96 feet, find the lengths of its sides.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The lengths of the sides of a triangle are represented by three consecutive even integers. If the perimeter of the triangle is 96 feet, find the lengths of its sides.
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Option 1, work it out the hard way.
x^2 + (x+1)^2 + (x+2)^2 = 96
tho it wasn't spec'd to be a right triangle.
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Or,
remember the 3-4-5 right triangle.
Its perimeter = 12
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--> 3*8 - 4*8 - 5*8
--> 24, 32, 40

Answer by ikleyn(52796) (Show Source): You can put this solution on YOUR website!
.
Without any calculations, I can say that the middle number is = 32 and two other numbers are 30 and 34.

So, the correct answer is 30, 32, 34.

Any other answer is . . .

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