Q3 of 65 Page 128

In Fig. 6.18, if LM || CB and LN || CD, prove that


From the given figure:

LM || CB


Now, using basic proportionality theorem, we get:


(i)



Therefore,


(ii)


From (i) and (ii), we obtain



More from this chapter

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1

In Fig. 6.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii)

 2

E and F are points on the sides PQ and PR respectively of a Δ PQR. For each of the following cases, state whether EF || QR :

(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm


(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm


(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

 4

In Fig. 6.19, DE || AC and DF || AE. Prove that


 5

In Fig. 6.20, DE || OQ and DF || OR. Show thatEF || QR.