ABC is an equilateral triangle. P and Q are two points on

Home » Aptitude » Mensuration » Question

ABC is an equilateral triangle. P and Q are two points on AB and AC respectively such that PQ || BC . If PQ = 5 cm, then area of ∆APQ is :

1. 25 sq. cm.
  4
2. 25 sq. cm.
  √3
3. 25√3 sq. cm.
  4
4. 25√3 sq. cm

Correct Option: C

Using Rule 6,

PQ Ω BC
∠APQ = ∠ABC = 60°
∠AQP = ∠ACB = 60°

∴ Area of ∆APQ =	√3	× (PQ)²
	4

=	√3	× 5² =	25√3	sq. cm.
	4		4