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Overview

I've been struggling at this problem for about 3 days now. I've posted it on a couple forums will no answers, so maybe I'll get a solution here. Thanks in advance!

Diagram: Diagram

Plain Diagram: Plain Diagram

Known: A, B, C, P, R, T, Z, h, w

Need: D, E, F; Length of dcef and ef segments

Y axis is inverted!

(0,0) is at top left corner of rectangle


Known Example Data

h = 600

w = 800


C is at (w/2,h/2) = (400,300)

R is at (400,0)

P is at (400,600)


A is at (534,88)

B is at (740,296)

T is at (534,0)

Z is at (534,600)


∠TAB = 135°

∠ZAB = 45°


∠RCE = ∠TAB

∠PCE = ∠ZAB


Problem Solving

∠ZFE = 90 - ∠PCE

∠ZFE = 45°


segCP = segRC = 400

segCF = sin(∠PCF) × segCP

segCF = sin(45) × 400

segCF = 282.8427125


∠TAB will be anywhere from 0° to 360°, which in-turn would affect what side and position F would be.

∠RCF always = ∠TAB

E is not a point on AZ

A may change coordinates, DE will always be parallel and congruent to AB


The Question!

Now all I really need is the length of segEF to solve the problem, since we know that segDE = segAB.

So segDF = segDE + segEF

Can educate me on the steps to get the length of segEF?

  • 0
    **E _is not a point on_ AZ**2011-11-10
  • 0
    Still no takers? I've got a cookie!2011-11-17

1 Answers 1