Q. 24.0( 4 Votes )
The acute angle between the medians drawn from the acute of a right angled isosceles triangle is
A. 
B. 
C. 
D. 
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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