Proposed Problem
Click the figure below to see the complete problem 432 about Trapezoid, Parallel, Measurement, Similarity, Transversal.
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Complete Problem 432
Level: High School, SAT Prep, College geometry
Sunday, April 4, 2010
Problem 432: Trapezoid, Parallel, Measurement, Similarity, Transversal
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join B to D
ReplyDeletename m = CF, n = FD, x1, x2 two part of x devided by BD
from thales theorem
in ▲ABD => f/(e+f) = x1/b (1)
in ▲BCD => n/(m+n) = x2/a (2)
in ABCD => f/e = m/n (3)
from (1) and (2) and (3)
x1 = bf/(e+f)
x2 = ae/(e+f)
x = x1 + x2
=>
x = (ae + ef)/(e + f)
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