The perimeter of a triangle is 31cm. side one and two have an equal length, while side three is one cm shorter then twice the length of side one. how long is each side

side one is 8cm

Side 2 is 8cm

Side 3 is 15 cm

Step-by-step explanation:

The perimeter of a shape is the distance around the shape. The perimeter of a triangle is the sum of the sides of the triangle.

Let x represent the length of side one and side 2. Since they have equal length, the sum of their length is x + x = 2x cm

Side three is one cm shorter then twice the length of side one. This means that the length of side three would be 2x - 1

The perimeter of a triangle is 31cm. Therefore,

2x + 2x - 1 = 31

4x - 1 = 31

4x = 31 + 1 = 32

x = 32/4 = 8 cm

Side three = 2×8 - 1 = 16 - 1 = 15