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 = m_{1}

Slope of AE = m_{2}

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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