Question 805559
<pre>
The formula for the area of a triangle given the medians
and its proof, is found on this University of Georgia site:

http://jwilson.coe.uga.edu/emt725/Medians.Triangle/Area.Medians.Tri.html

The formula is:

{{{A=expr(1/3)sqrt(2(u^2v^2+v^2w^2+w^2u^2)-(u^4+v^4+w^4))}}}

where u,v, and w are the three medians.

Substituting u=18, v=24, w=30 (all in centimeters),

{{{A=expr(1/3)sqrt(2(18^2*24^2+24^2*30^2+30^2*18^2)-(18^4+24^4+30^4))}}} = 288 cm²

Edwin</pre>