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.