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+ (

Algebra ->  Equations -> 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+ (      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B%28x%2B1%29%2B%28x%2B2%29=12 Start with the given equation


3x%2B3=12 Combine like terms on the left side


3x=12-3Subtract 3 from both sides


3x=9 Combine like terms on the right side


x=%289%29%2F%283%29 Divide both sides by 3 to isolate x



x=3 Divide

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Answer:
So our answer is x=3


Since x=3, this means x+1 is

%283%29%2B1=4

and x+2 is

%283%29%2B2=5

So our three numbers are 3,4, and 5


Notice how the sum of 3,4 and 5 is


3%2B4%2B5=7%2B5=12

So this verifies our answer.