the lengths of the sides of a triangle are y,y+1, and 7 centimeters. if the perimeter is 56 centimeters, what is the value of y?

56=y + y+1 + 7

solve for y.

y= 24

To find the value of y, we can use the fact that the perimeter of a triangle is the sum of the lengths of its sides.

Given that the lengths of the sides of the triangle are y, y+1, and 7 centimeters, we have:

Perimeter = y + (y+1) + 7

We know that the perimeter is 56 centimeters, so we can set up the equation:

56 = y + (y+1) + 7

Simplifying the equation, we get:

56 = 2y + 8

Next, let's isolate the variable y. We can do this by subtracting 8 from both sides of the equation:

56 - 8 = 2y

48 = 2y

Now, to solve for y, we divide both sides of the equation by 2:

48/2 = y

24 = y

So, the value of y is 24 centimeters.