Geometry Problem. Post your solution in the comment box below.

Level: Mathematics Education, High School, Honors Geometry, College.

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## Friday, April 10, 2015

### Problem 1108: Right Triangle, External Squares, Catheti, Cathetus, Congruence, Harmonic Mean

Labels:
cathetus,
congruence,
harmonic mean,
right triangle,
square

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Consider ABM and AGF,

ReplyDeleteBM/a = c/(a+c)

BM = ac/(a+c)

Consider CBN and CDE,

BN/c = a/(a+c)

BN = ac/(a+c)