CAT 1997 — QA Question 35
Similarity of TrianglesEasy
In ΔABC, points P, Q and R are the mid-points of sides AB, BC and CA respectively. If area of Δ ABC is 20 sq. units, find the area of Δ PQR.
Answer & solution
Correct answer: 5 sq. units
- A
10 sq.units
- B
5√3 sq. units
5 sq. units
- D
None of these
Solution
In a triangle, the line joining the mid-points of any two sides is half the length of its third side. Hence, every side of ΔPQR would be half the sides of ΔABC. Hence, area of ΔPQR would be the area of ΔABC
× 20 = 5 sq.units