SOLUTION: The medians AD, BE and CF of a triangle ABC are of lengths 18 cm, 24 cm and 30 cm respectively. The area in cm2 of the triangle is ?

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Question 805559: The medians AD, BE and CF of a triangle ABC are of lengths 18 cm, 24 cm and 30 cm respectively. The area in cm2 of the triangle is ?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
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:



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

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

 = 288 cm²

Edwin