the perimeter of a triangle is 25 inches. The first side is 6 inches longer than the second side. The third side is 5 inches shorter than twice the second side. Find the length of each side

If x is the 2nd side, then

(x+6)+x+(2x-5) = 25
x = 6
and the sides are 12,6,7

To find the lengths of the sides of the triangle, let's assign variables to the second side, which we'll call 'x'.

According to the given information, the first side is 6 inches longer than the second side, so we can define it as x + 6.

The third side is 5 inches shorter than twice the second side, so it would be 2x - 5.

To find the perimeter, we need to add the lengths of all three sides:

Perimeter = (first side) + (second side) + (third side)
25 = (x + 6) + x + (2x - 5)

Simplifying the equation:
25 = 4x + 1

Next, we solve for x:
Subtracting 1 from both sides:
24 = 4x

Dividing both sides by 4:
x = 6

Now that we have the value of x, we can find the lengths of the other sides:

First side = x + 6 = 6 + 6 = 12 inches
Third side = 2x - 5 = 2(6) - 5 = 12 - 5 = 7 inches

Therefore, the length of each side of the triangle is:
First side = 12 inches
Second side = 6 inches
Third side = 7 inches