### Home > MC2 > Chapter 6 > Lesson 6.2.4 > Problem 6-109

The two triangles below are similar shapes.

What is the scale factor between shape A and shape B?

Which corresponding sides in A and in B are both known?

What do you need to multiply

by to get ? Find the missing sides.

Identify which sides in A correspond to which sides in B.

Since

corresponds to *t*and*s*corresponds to, multiply by the scale factor to find , and divideby the scale factor to find .If you wanted to make shape A smaller instead of bigger, what is a scale factor you could use?

The scale factor is what you multiply by to increase or decrease the size of a shape.

If a scale factor greater than one created a larger triangle, then a scale factor less than one must create a smaller triangle.

Note that a scale factor cannot be negative because a negative side length is nonexistent.