Find the length on each side of a triangle.

Perimeter - 35m
side 1 - x
side 2 - x+2
side 3 - x+3

x + x + 2 + x + 3 = 35

3x + 5 = 35

3x = 30

x = 10

how did you get from 35 to 30? Did you subtract? If so why?

Yes. The way to solve this equation is to subtract 5 from both sides of the equation.

oh thank you!

You're welcome.

why do i have the same question but instead the answer for this is 10m, 12m, and 13m?

To find the length of each side of a triangle when given the perimeter, we can use the equation of the perimeter:

Perimeter = side 1 + side 2 + side 3

Let's substitute the given values into the equation:

35m = x + (x+2) + (x+3)

Now, we can solve for x to find the length of each side.

Combine like terms:

35m = 3x + 5

Next, we'll isolate x by subtracting 5 from both sides:

35m - 5 = 3x

30m = 3x

Now, divide both sides by 3 to solve for x:

(30m) / 3 = (3x) / 3

10m = x

So, the length of side 1 (x) is 10m.

To find the length of the other sides, substitute the value of x back into the equation:

side 2 = x + 2 = 10m + 2 = 12m

side 3 = x + 3 = 10m + 3 = 13m

Thus, the lengths of the sides are:
side 1 = 10m
side 2 = 12m
side 3 = 13m