Question 84

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 4:3 and length of QR is 4.9 cm, find ST?

Solution

ST is parallel to QR and PS : SQ = 4 : 3

=> $$\frac{PS}{PQ} = \frac{ST}{QR}$$

=> $$\frac{4}{4 + 3} = \frac{ST}{4.9}$$

=> $$\frac{4}{7} = \frac{ST}{4.9}$$

=> $$BC = 4 \times 0.7 = 2.8$$ cm

=> Ans - (C)

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