The side side side similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent true of false?

False. The only requirement of the SSS similarity is the corresponding sides need to have the same ratio with each other.

For example, one triangle has the side lengths 3, 4, 5 and the other one has 6, 8, 10.

To find if SSS works here, we need to set their ratio equal to each other.



Simplify:  

We can see that all sides have the same ratio as the others; so, these triangles have a similarity of SSS.