Question

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

True of False?

Answer 1

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.


`(3)/(6) = (4)/(8) = (5)/(10)`

Simplify:
`(1)/(2) = (1)/(2) = (1)/(2)`

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