
Topology Topology Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 25th, 2017, 11:31 AM  #1 
Newbie Joined: May 2017 From: Germany Posts: 5 Thanks: 0  Determine proportion of two lines in a triangle
Hey there. I'm a second semester maths student. I currently have one lecture which I'm not keeping up with because it's a) terrible, it makes me angry, and b) about the topic I'm least interested in, however do still plan to pass the exam this semester, hence why I need help solving this assignment. I think the image is quite selfexplanatory; I need to determine the length of x relative to c. The lower and right line are obviously cut with 2:1 proportion but the third isn't. There is a proof (it probably has some elegant name in English, but I wasn't able to find it) about the centerpoint of a triangle. Here is an image of that one: The proof isn't too difficult and I understand how it works; however I haven't been able to do something similar for my case. Alright, so that's the problem. Any help is greatly appreciated! Last edited by skipjack; May 25th, 2017 at 01:21 PM. 
May 25th, 2017, 01:25 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,155 Thanks: 1422 
Have you swapped "2a" and "4a"? Anyway, apply Ceva's theorem.

May 25th, 2017, 11:00 PM  #3  
Newbie Joined: May 2017 From: Germany Posts: 5 Thanks: 0  Quote:
Yeah, that's theorem covers it, now I can certainly get it done. Thanks.  

Tags 
determine, geometry, lines, proportion, triangle 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Are angles in similar triangle in the same proportion as the sides?  randomgamernerd  Geometry  7  November 14th, 2015 08:23 PM 
Determine the type of triangle by its medians  sf7  Geometry  3  June 14th, 2014 05:04 AM 
Formula to determine value of Y in a triangle  afonsolage  Algebra  12  December 28th, 2013 05:49 AM 
Need simple help to determine angles in right triangle?  MathNoobGuy  Algebra  4  March 1st, 2012 11:32 AM 
Find curve with tangent and normal lines, form triangle  Shamako  Calculus  1  October 10th, 2011 09:04 PM 