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
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See complete Problem 94
Similar Triangles, Circumradii, Parallel. Level: High School, SAT Prep, College geometry
Post your solutions or ideas in the comments.
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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