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Topic: Problem of the Week, January 24-28
Replies: 0

 Problem of the Week Posts: 292 Registered: 12/3/04
Problem of the Week, January 24-28
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
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.

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Problem of the Week for January 24-28

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.

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