# Find Point On Rect Edge

by Norpyx
Tags: geometry tutoring, trigonometry
 P: 5 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! Plain Diagram: http://www.swivelgames.com/projects/...th_simpler.png 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 Data h = 600 w = 800 C is at (w/2,h2) = (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 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 anyone help me get segEF? Something to note: This is a real-world problem where ∠TAB will be anywhere from 0° to 360°, which in-turn would affect what side and position F would be. And ∠RCF always = ∠TAB
 P: 5 Anyone? :S

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