Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)² ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4/9.
In the case of similar triangles:
AB/PQ = AC/PR = BC/QR
AB/PQ = 2/3
AB/PQ = BC/QR
AB/PQ = 2BD/2QS = BD/QS
BD/QS = 2/3
(BD/QS)² = (2/3)² = 4/9