(adsbygoogle = window.adsbygoogle || []).push({}); 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/ideas/circlepoints/getseglength_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 ∠RCFalways= ∠TAB

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Find Point On Rect Edge

**Physics Forums | Science Articles, Homework Help, Discussion**