Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Another Triangle division.
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
ontadian@hotmail.com

Posts: 658
Registered: 12/6/04
Another Triangle division.
Posted: Dec 17, 2010 10:59 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

An isosceles triangle has a larger base than its sides.
A line is drawn from its apex to its base with a further line drawn at 90 degrees to that line so as to finish at the triangle side.
Both lines are of equal length.
We now have the triangle divided into 3 equal areas.
Find the ratio of the triangle side to its base.
An interesting solution involves the use of the trigonometrical identity:-
tan(alpha+beta)= (tan alpha+tan beta)/(1-tan alpha*tan beta)



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.