Question

Are the triangles similar? If so, write a similarity statement for the triangles and explain how you know the triangles are similar.

Answer 1

right-handThe triangles are similar if, the ratios of their sides are equal

`(AE)/(AC)=(AW)/(AL)`

`(8+8)/(6+6)=(8)/(6)`

On the left-hand side

`(16)/(12)=(4)/(3)`

and in the right-hand side, we have

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

The left-hand side equals the right-hand side; therefore, the triangles are similar.