Is it possible for two triangles to have the same three angles and two of the same...

Katherinegrrr

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Is it possible for two triangles to have the same three angles and two of the same three sides and yet not be congruent?

If you think it can be, then give an example of such triangles.

If you think it is impossible, prove why it is impossible.


Thanks!!
 
Is it possible for two triangles to have the same three angles and two of the same three sides and yet not be congruent?

If you think it can be, then give an example of such triangles.

If you think it is impossible, prove why it is impossible.


Thanks!!

Great question! What you come up with?
 
You might also think about some of the standard "congruence" theorems: SSS, ASA, SAS, etc. Do any of those apply?
 
Hello, Katherinegrrr!

Is it possible for two triangles to have the same three angles
and two of the same three sides and yet not be congruent? .Yes!

How about these two triangles?
Code:
                          |        *
          *               |       *  *
       a *  *  b          |    b *     *  c
        *     *           |     *        *
       *        *         |    *           *
      *  *  *  *  *       |   *  *  *  *  *  *
            c

 
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