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

Katherinegrrr

New member
Joined
Nov 2, 2012
Messages
1
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!!
 

srmichael

Full Member
Joined
Oct 25, 2011
Messages
848
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?
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
4,716
You might also think about some of the standard "congruence" theorems: SSS, ASA, SAS, etc. Do any of those apply?
 

soroban

Elite Member
Joined
Jan 28, 2005
Messages
5,588
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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