See complete Problem 94

Similar Triangles, Circumradii, Parallel. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Monday, May 19, 2008

### Geometry Problem 94

Labels:
circle,
circumradius,
parallel,
similarity,
triangle

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Triangles ABC,BDE,GFE&GMc are similar; hence ther circumradii will be proportional to their corresponding sides. Thus,R1/R=BE/BC,R2/R=GE/BC & R3/R=GC/BC. Or R1/R+R2/R+R3/R=(BG+EG+GC)/BC=BC/BC=1 or R1 + R2 + R3 = R

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