In ∆ABC, P and Q are the middle points of the sides AB and AC, respectively. R is a point on the segment PQ such that PR: RQ = 1:5. If PR = 6 cm, then BC = ____.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 72 cm.
△ABC, given:
P and Q are the midpoints of sides AB and AC, respectively.
R divides PQ such that PR : RQ = 1 : 5
⇒ PR = 6 cm
RQ = 5 × 6 = 30
⇒ PQ = PR + RQ = 36 cm
Since PQ = 1/2 × BC
⇒ 36 = 1/2 × BC
⇒ BC = 36 × 2 = 72 cm