Question 63
In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 4:1 and length of QR is 15 cm,what is the length of ST?
Solution
It is given that PS : SQ = 4 : 1 and QR = 15 cm
Let PS = 4cm and SQ = 1 cm
ST is parallel to QR
=> $$\frac{PS}{PQ} = \frac{ST}{QR}$$
=> $$\frac{4}{4 + 1} = \frac{ST}{15}$$
=> $$\frac{4}{5} = \frac{ST}{15}$$
=> $$ST = 4 \times 3 = 12$$ cm
=> Ans - (C)
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