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Question
Find the length of ST, if ΔPQR ∼ ΔPST.
Options
7.2 cm
7 cm
8 cm
9 cm
Solution
7.2 cm
Explanation:
Given: ΔPQR ∼ ΔPST
∴ `(PQ)/(PS) = (QR)/(ST)` ......[Corresponding parts of similar triangles]
⇒ `(PS + SQ)/(PS) = (QR)/(ST)`
⇒ `(4 + 6)/4 = 18/(ST)`
⇒ `10/4 = 18/(ST)`
10 × ST = 18 × 4
ST = `72/10` = 7.2 cm
Thus, the length of ST is 7.2 cm.
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