SSC CHSL 2024 PYQ — Question 58

The correct answer is option 1 i.e. 10 cm.

Given that

In a ∆ABC, two medians AD and BE intersect at G at right angles.

If AD = 18 cm and BE = 12 cm

According to the question

In a ∆BGD, 

GD = AD/3 = 18/3 = 6 cm

BG = BE × 2/3 =12 × 2/3 = 8cm

By the Pythagoras theorem, In ∆BGD

⇒ BD² = GD² + BG² = 6² + 8²

⇒ BD² = 36 + 64

⇒ BD² = 100

⇒ BD = 10 cm