△ABC is an equilateral triangle. P, Q, and R are the mid-points of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 11 cm, then the area (in cm2) of △PQR is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. .
Side of the triangle(a) = 11 cm
Area of the triangle = (√3/4) × a2
⇒ (√3/4) × 11 × 11 = 121√3/4 cm2
P, Q, and R are the mid-points of sides AB, BC and CA, respectively
So,
Area of △PQR = 1/4 × Area of △ABC = 1/4 × 121√3/4 = cm2