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