As isosceles triangle has two sides of equal length. If the third side of an isosceles triangle is five inches longer than one of the equal sides, and the perimeter is 26 inches, find the length of each side.

x, x and (x+5)

3 x + 5 = 26
so
3x = 21
x = 7
x = 7
x+5 = 12

To solve this problem, we can set up an equation based on the given information.

Let x be the length of one of the equal sides of the isosceles triangle.

According to the problem, the length of the third side is 5 inches longer than one of the equal sides. So, the length of the third side is x + 5.

The perimeter of the triangle is the sum of all three sides, which is equal to 26 inches.

So, we can set up the equation:

x + x + x + 5 = 26

Simplifying the equation, we have:

3x + 5 = 26

Now, let's solve for x.

Subtracting 5 from both sides:

3x = 21

Dividing both sides by 3:

x = 7

So, x represents the length of one of the equal sides, which is 7 inches.

The length of the third side is x + 5 = 7 + 5 = 12 inches.

Therefore, the lengths of the sides of the isosceles triangle are 7 inches, 7 inches, and 12 inches.