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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