Geometry Problem
Click the figure below to see the complete problem 442 about Triangle, Median, Cevian, Transversal, Congruent Angles.
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Complete Problem 442
Level: High School, SAT Prep, College geometry
Friday, April 30, 2010
Problem 442: Triangle, Median, Cevian, Transversal, Congruent Angles
Labels:
angle,
cevian,
congruence,
median,
transversal,
triangle
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▲FGB ~ ▲BDC => FG/DC = BF/BC (α = α, ß = ß )
ReplyDelete▲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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just observe that BFGJ is similar to BCDA, than FG/GJ=CD/DA=1 and x=5-3=2
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