SOLUTION: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x,x + 1, and x + 2 by solving the equation. x + (x +
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Question 118640: Perimeter of a triangle. The perimeter of the triangle shown in the accompanying figure is 12 meters. Determine the values of x,x + 1, and x + 2 by solving the equation. x + (x + 1) + (x + 2) = 12
Please show the break down so I can work future word problems.
Thank you
Found 2 solutions by jim_thompson5910, ilana:
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
--------------------------------------------------------------
Answer:
So our answer is
Now let's find the length of :
Start with the given expression
Plug in
Add
So
Now let's find the length of :
Start with the given expression
Plug in
Add
So
--------------------------------------
So the three lengths are 3,4, and 5
Check:
notice if we add 3, 4, and 5 we get:
3+4+5=12
So this verifies our answer.
Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
I think the problem has already been broken down for you. From what I understand, you have a triangle with side lengths x, x+1, x+2. What's important to remember is that those sides do have lengths, we just don't know them. But someone who does added them up to get a perimeter of 12. Now we want to see what numbers they added to get that. We know that x+(x+1)=2x+1, and (2x+1)+(x+2)=3x+3. So the perimeter of this triangle is 3x+3. But wait! We were told the perimeter is 12! That means 3x+3=12. Now solve for x: 3x=9, x=3. So the side lengths are actually x=3, x+1=4, x+2=5. Notice, 3+4+5=12.
In general, you need to connect all of the information you are given and figure out the missing piece that joins them together. Here, you had side lengths in terms of x and a number for the perimeter. You needed to find what x makes that perimeter true. Good luck!
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