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

Home > Shapes
Triangle Area Trial (Posted on 2014-12-07) Difficulty: 3 of 5
Consider a right angled triangle ABC situated in the XY plane, where AB is the hypotenuse.

Given that:

(i) AB = 60, and:
(ii) The medians through A and B lie along the lines y=x+3 and y=2x+4 respectively.

Determine the area of triangle ABC.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Approximate solution from GSP | Comment 1 of 3
I'm pretty sure this is the only solution. 

Area of triangle ≈9.40445


Trying to solve analytically eventually led to a quartic polynomial with terms in the millions.  One of them did turn out to be correct, I think.

Edit:  The area above does not take my scale into account.
A distance on 1 on my graph was only .15333 cm.
9.40445/1.5333² = 400.018

Edited on December 10, 2014, 10:48 am
  Posted by Jer on 2014-12-08 06:51:09

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information