Question : In a triangle PQR, S, and T are the points on PQ and PR, respectively, such that ST || QR and
Option 1: 2 cm
Option 2: 2.25 cm
Option 3: 3.5 cm
Option 4: 4 cm
Correct Answer: 2.25 cm
Solution :
Given:
In
Let PS = 3 units, SQ = 5 units
So, PQ = 3 + 5 = 8 units
PR = 6 cm
In ∆ PST and ∆ PQR,
∵ QR | | ST
∵
∴ By AA - similarity,
Here,
⇒
Hence, the correct answer is 2.25 cm.
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