Question

Given two triangles with two corresponding sides equal...is the third side equal?

Answer 1

Not necessarily.

Answer 2

As ranga said. The third side is not supposed to be equal.
You can imagine it like this, two sides are equal, but the angle they make can be different...

Answer 3

This causes the third side to change it's length...

Answer 4

OK thanks

Answer 5

That is why you have theorems like the SAS for congruency. Two corresponding sides and the included angle are the same then the triangles are congruent. Just having two sides the same is not sufficient for congruency.

Answer 6

Only if the included angle BAC = angle EDF.

Answer 7

So, you need two sides and the angle in between to be same for the other triangles third side to be equal...