Geometry Problem

Click the figure below to see the complete problem 471 about Triangle, Parallel, Side, Concurrency, Area, Similarity.

See also:

Complete Problem 471

Level: High School, SAT Prep, College geometry

## Tuesday, July 13, 2010

### Problem 471: Triangle, Parallel, Side, Concurrency, Area, Similarity

Labels:
area,
concurrent,
parallel,
side,
similarity,
triangle

Subscribe to:
Post Comments (Atom)

Clearly, triangles FDO, MOE, OHG & BAC are all similar. Hence, S1/S = DO^2/AC^2 = AH^2/AC^2 or √(S1/S)=AH/AC. Likewise,√(S2/S)=OE/AC=GC/AC and √(S3/S)=HG/AC which gives us: √(S1/S)+√(S2/S)+√(S3/S)=(AH+HG+GC)/AC=AC/AC=1. Hence, √S=√S1+√S2+√S3.

ReplyDeleteVihaan