All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Locus to trisect the triangle (Posted on 2020-11-22) Difficulty: 3 of 5
ABC is a triangle in the plane. Find the locus of point P also on the same plane such that the lengths of the segments PA, PB and PC form a triangle whose area is equal to one third of the area of triangle ABC.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Desmos solution Comment 1 of 1
https://www.desmos.com/calculator/hcmhnbdgco

Move the purple or blue points

The red curve is the requested locus but you can set it to any proportion.
The blue region is where the lengths do not satisfy the triangle inequality.
If you tinker with the vertices of the triangle to make it equilateral, the locus resolves to a circle and a point at the center.   

Pretty fun if I do say so myself.
 



  Posted by Jer on 2020-11-22 21:06:29
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information