In ΔPQR, points T and S are on PQ and PR, respectively, such that TS is parallel to QR. If TQ = 7.2 cm, PS = 1.8 cm and SR = 5.4 cm, then find the length of PT.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2.4 cm.
Since TS is parallel to QR, ΔPTS & ΔPQR are similar triangles.
Then,
PT/TQ = PS/SR
⇒ PT = (PS/SR) × TQ
⇒ PT = (1.8/5.4) × 7.2
⇒ PT = 2.4
Length of PT = 2.4 cm.