Question

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, then area of the triangle PQR equal to 

(A) 10 sq. units 

(B) 5√3 sq. units 

(C) 5 sq. units 

(D) 5.5 sq. units

Answer 1

Correct option (C) 5 sq. units

Explanation:

As P, Q and R are the midpoints of AB, BC and AC respectively, ΔABC is divided into 4 triangles of equal areas. Therefore, Area (ΔPQR) = 20/4 = 5 sq. units.