In a triangle
, the medians
and
are perpendicular to each other and their lengths are
and
. If the area of triangle
is of the form
, where
and
are coprime positive integers, find
.
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As A D and B E are perpendicular to each other, so the area of A B D E is 2 1 A D ∗ B E
So 4 3 A r e a = 2 1 m n
A r e a = 3 2 m n
a + b = 5