# In a triangle ABC AB = BC = AC = 12 cm How will the perimeter of this triangle change if: a) all its sides are increased by 2 times

**In a triangle ABC AB = BC = AC = 12 cm How will the perimeter of this triangle change if: a) all its sides are increased by 2 times b) All its sides are reduced by 3 times What is the ratio of the perimeter of triangle ABC to its side?**

In the problem, a triangle ABC is given and the meaning of all its sides is known. Let’s find its perimeter:

ABC = AB + BC + AC = 12 + 12 + 12 = 36 cm.

The perimeter of triangle ABC is 36 cm. The perimeter will change:

A) if all sides are doubled, then the perimeter of the ABC triangle will double:

36 * 2 = 72 cm.

B) if all sides of the perimeter are reduced by 3 times, then the perimeter will also decrease by 3 times:

36: 3 = 12 cm.

C) the ratio of the perimeter of the triangle ABC to its side will be equal to 1/3 of the perimeter of the triangle, since the triangle ABC is equilateral.