SOLUTION: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figures is 12 meters. Determine the values of x,x+1, and x +2 by solving the equation. x+ (

Question 111556: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figures is 12 meters. Determine the values of x,x+1, and x +2 by solving the equation.
x+ (x+1) + (x+2) = 12

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Combine like terms on the left side

Subtract 3 from both sides

Combine like terms on the right side

Divide both sides by 3 to isolate x

Divide

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Answer:
So our answer is

Since x=3, this means x+1 is

and x+2 is

So our three numbers are 3,4, and 5

Notice how the sum of 3,4 and 5 is

So this verifies our answer.
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