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

Labels:
measurement,
parallel,
similarity,
trapezoid

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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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