My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum


Thanks Tree1Thanks
Reply
 
LinkBack Thread Tools Display Modes
February 10th, 2018, 03:54 AM   #11
Newbie
 
Joined: Dec 2017
From: Spain

Posts: 13
Thanks: 0

Sorry I didn't answer
The trick is using three theorems:
Tales theorem
Altitudes theorem in rectangle triangles
and remember that the product of the altitudes-parts is always equal:
AH*HHa=BH*HHb=CH*HHc
Hence all the lines
HPa; HQa; HPb; HQb; HPc; HQc have the same length and origin (H).
Hence they are all radii of a common circle
MIKI14 is offline  
 
Reply

  My Math Forum > High School Math Forum > Geometry

Tags
circles, cyclic hexagon, exercise, geometry, involved, orthocenter, parallels



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Geometry exercise greg1313 Geometry 1 September 24th, 2015 11:30 PM
Is any property of orthocenter involved here ? saravananr Geometry 1 November 14th, 2014 03:41 AM
Algebraic Geometry - D&F Section 15.1, Exercise 24 Math Amateur Abstract Algebra 0 October 30th, 2013 08:36 PM
Incenter and Orthocenter Albert.Teng Algebra 0 January 21st, 2013 06:06 PM
Parallels of the golden section and the Eulerian number PerAA Number Theory 1 November 25th, 2012 05:21 AM





Copyright © 2018 My Math Forum. All rights reserved.