Friday, April 30, 2010

Problem 442: Triangle, Median, Cevian, Transversal, Congruent Angles

Geometry Problem
Click the figure below to see the complete problem 442 about Triangle, Median, Cevian, Transversal, Congruent Angles.

Problem 442: Triangle, Median, Cevian, Transversal, Congruent Angles.
See also:
Complete Problem 442

Level: High School, SAT Prep, College geometry

2 comments:

  1. ▲FGB ~ ▲BDC => FG/DC = BF/BC (α = α, ß = ß )
    ▲BFJ ~ ▲ABC => FJ/AC = BF/BC (α = α, B common)
    =>
    FG/DC = FJ/AC
    5/0.5 AC = (8+x)/AC
    10 = 8 + x

    x = 2
    ------------------------------------------

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  2. just observe that BFGJ is similar to BCDA, than FG/GJ=CD/DA=1 and x=5-3=2

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