The three medians AX, BY and CZ of Δ ABC intersect at point L. If the area of Δ ABC is 30 cm2, then the area of the quadrilateral BXLZ is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 10 cm2
⇒ The area of triangle ABC = 30cm2
⇒ Area of triangle BLX = (1 / 6) × ar(ABC)
⇒ (1 / 6) × 30 = 5 cm2
Area of the qaudrilateral BXLZ = 2 × ar(BLX)
⇒ 2 × 5 = 10 cm2