Railways PYQCBT 1 2020

RRB NTPC · Question 52

ABC is an equilateral triangle. P, Q and R are the midpoints of sides AB, BC and AC respectively. The length of the side of the triangle is 4 cm. The area of triangle PQR is:

  1. √3 cm^2

  2. \(\rm \frac{1}{4} \sqrt 3 \ cm^2\)

  3. \(\rm \frac{\sqrt 3}{2} \ cm^2\)

  4. \(\rm \frac{\sqrt 3}{9} \ cm^2\)

Show answer & explanation

Answer: (A) √3 cm^2

Explanation

Area of ABC = √3/4 × 4² = 4√3. Joining midpoints gives a triangle with 1/4 of the area: √3 cm².