Results 1 to 4 of 4

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

  1. #1

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

    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!!

  2. #2
    Full Member
    Join Date
    Oct 2011
    Location
    Atlanta
    Posts
    848
    Quote Originally Posted by Katherinegrrr View Post
    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?
    "There are 10 types of people in this world - those who understand binary and those who don't."

  3. #3
    Elite Member
    Join Date
    Jan 2012
    Posts
    4,569
    You might also think about some of the standard "congruence" theorems: SSS, ASA, SAS, etc. Do any of those apply?

  4. #4
    Elite Member
    Join Date
    Jan 2005
    Location
    Lexington, MA
    Posts
    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



Tags for this Thread

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •