anonymous
  • anonymous
Challenge: Find the ratio of area of triangle and area of triangle formed using the lengths of the medians.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Sorry it is not a challenge it took me 2mins to realize the solution
Directrix
  • Directrix
If we're talking a single triangle, the area would be constant and the ratio 1:1.
anonymous
  • anonymous
No

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More answers

anonymous
  • anonymous
area of the triangle of medians is three-fourths of the area of the given triangle.
anonymous
  • anonymous
three medians of a triangle divide the triangle into six equal areas.
anonymous
  • anonymous
That is right aron
anonymous
  • anonymous
However tell me how did you do it just want to check if we both used the same method
anonymous
  • anonymous
Yep it's 3/4.
anonymous
  • anonymous
I used this:http://mathworld.wolfram.com/TriangleMedian.html
anonymous
  • anonymous
I know a proof using vectors
anonymous
  • anonymous
Aha, vector would certainly make things much easy.
anonymous
  • anonymous
It is a 3 line proof And i discovered it myself
anonymous
  • anonymous
Furthermore, the area of the triangle is : \[1/3\sqrt{(2\sum u ^{2}v ^{2} - \sum u^{4})}\] where u,v and w are the medians .
anonymous
  • anonymous
@Aron that's a fairly complicated form.

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