Hello, reagan3nc!

I need to prove SSS triangle congruency using SAS as an axiom.

It said to use a kite or dart to help with the proof Code:

B
*
* α |β*
* | *
* | *
A * - - - - - - - * - - - * C
* |E *
* | *
* α |β*
*
D

We are given two triangles with equal corresponding sides.

Place them so they have an equal side in common.

We have and with: .

. . and, of course,

Since is isosceles.

Hence, its base angles are equal: .

Since is isosceles.

Hence, its base angles are equal: .

Since . then: .

And we have: .

Therefore: .