Question

The given triangle has Centroid at O.

If PC = 54 cm, Find the length of OC.

• A. 18 cm
• B. 24 cm
• C. 36 cm
• D. 42 cm

Answer 1

The correct option is C

36 cm

PC is a Median and O is the centroid.

Centroid Divides Median in the Ratio 2 : 1.

OC : OP = 2 : 1

OC = 2x and OP = x

PC = OC + OP = 2x + x = 3x

3x = 54

$\Rightarrow$ x = 18 cm

$\therefore$ Length of OC = 2x = 2 $\times$ 18 = 36 cm