Challenging Geometry Puzzle: Problem 1571. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.
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Draw the Bisector AD of < A
ReplyDeleteSo BD / DC = AB / AC
So BD / (24 - BD) = 7 / 25 from which
BD = 21/4
Hence ABD is easily seen to be a 3-4-5 Triangle
and < BAD = 36.87 = 37 degrees approximately
Therefore <A = 37 X 2 = 74 degrees
Sumith Peiris
Moratuwa
Sri Lanka