Question

In triangle PQR, ST is drawn parallel to QR such that PT : RT = 2 : 3. If O is the point of intersection of QT and RS, then what will be the ratio of the areas of triangle OTS and triangle OQR will be

1. 4 : 25
2. 4 : 9
3. 16 : 25
4. 25 : 4​

Answer 1

Answer:

May be the answer 4:9

Step-by-step explanation:

The answer is 4:9

Answer 2

PT/PR=ST/QR

So,2/5=ST/QR

∆SOT ~ ∆QOR (By AA similarity)

Ar(∆SOT)/Ar(∆QOR)=(ST)²/(QR)²

=4:25