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Problem of the Week, January 2428
Posted:
Jan 24, 1994 5:18 PM


The problem of the week is a regular feature here at the geometry forum. Each weekend a high school level geometry problem will be posted, and the following weekend a summary of solutions and their authors will be posted.
Please do not post solutions to the problem of the week; instead mail your answer along with as detailed a description of your method as necessary/possible to pow@forum.swarthmore.edu (replying to this message will also work). Solutions should be received by midnight Friday so they can be combined and posted over the weekend.
Please include your name, grade, and school along with your answer.
********************************************************************* Problem of the Week for January 2428
Consider the two triangles below (note that they aren't to scale):
A / . O /113 . . \ 7 / . 10 7 . 113 \ / . . \ / . . \ / . . 27 40\ / 40 27 . G  D C  T 10
a) How many pairs of equal sides and angles do the two triangles have? b) Are the two triangles congruent? Explain.
extra: Can you find two noncongruent triangles with six pairs of equal sides and angles (with no side or angle paired more than once)? Explain. *********************************************************************



