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

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

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## Monday, April 20, 2015

### Geometry Problem 1111: Right Triangle, External Squares, Cathetus, Angle Bisector, Area, Geometric Mean

Labels:
angle bisector,
area,
cathetus,
geometric mean,
right triangle,
square

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S = 1/2 ac

ReplyDeleteS₁ = (a+c)²

S₂ = (ac/(a+c))²

S₁S₂ = (ac)²

√(S₁S₂) = ac = 2S