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

Posts: 292
Registered: 12/3/04
Problem of the Week, January 24-28
Posted: Jan 24, 1994 5:18 PM
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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 (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 24-28

Consider the two triangles below (note that they aren't to scale):

/ . 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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