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Show that a median of a triangle divi...

Show that a median of a triangle divides it into two triangles of equal areas.

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Draw a prependicular AM from A to BC.
D is the mid-point of side BC (`:.` AD is the median)
`:. BD = DC`
Now, area of `Delta ABD = (1)/(2) xx BD xx AM`
and area of `Delta ACD = (1)/(2) xx CD xx AM`
`= (1)/(2) xx BD xx AM ( :. BD = CD)`
`:.` area of `Delta ABD = " area of " Delta ACD`
(This example must be treated as a theorem: very important results)
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