Thursday, July 24, 2008

Elearn Geometry Problem 142

Four triangles, incircle, areas

See complete Problem 142
Four Triangles, Incircle, Tangent and Parallel to Side, Areas. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

1 comment:

  1. triangles AMH,BDE,CFG are similar to ABC.
    sqr(S1/S)+sqr(S2/S)+sqr(S3/S)=AM/AB+DB/AB+GF/AB
    but GF=MD and AM+MD+DB=AB
    AB/AB=1
    then sqr(S1)+sqr(S2)+sqr(S3)=sqr(S)

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