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

 Reflection Triangle (Posted on 2020-01-24)
Given a reference triangle △ABC, a reflection triangle △A′B′C′ is generated by reflecting each vertex about the opposite side, for example A′ is generated by reflecting vertex A about side BC. Now, suppose the vertices A′, B′ and C′ are given, how can you find the original vertices of the original triangle △ABC?

 No Solution Yet Submitted by Danish Ahmed Khan Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): What am I missing? -> The Kosnita Point | Comment 3 of 5 |
(In reply to re: What am I missing? -> The Kosnita Point by Steven Lord)

Right, theorem 4 clears it up. So we "simply" construct the nine-point center N (see here), draw its pedal triangle, construct the centroid G, then throw the pedal triangle into the h(G,4) homothety and - quite effortlessy - we have A', B' and C'.

Sometimes it's so easy ;)

 Posted by JLo on 2020-01-27 05:52:34
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (4)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information