# SSS Similarity (Side-Side-Side Similarity, SSS~)

How to solve SSS similarity problems: theorem, example, and its solution.

## Theorem

If three corresponding sides of two triangles are proportional,

then those two triangles are similar.

## Example

Two corresponding sides of △*ABC* and △*DEF* are proportional:*AB*/*DE* = *AC*/*DF* = 2.

And the followings are the ratios of the sides.

So find the following

that shows the missing proportionality:*BC*/*EF* = 2.

If the followings are the congruences of angles,

then you should find the congruence of inscribed angles.

SAS similarity (Side-Angle-Side similarity)