Answer :

Let the coordinates of the right-angled isosceles triangle be O(0, 0), A(a, 0) and B(0, a).



Here, BD and AE are the medians drawn from the acute angles B and A, respectively.


Slope of BD = m1


Slope of AE = m2


Let θ be the angle between BD and AE.


tan θ


cos θ


cos θ =


θ


Hence, the acute angle between the medians is

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