Question

Question 3 In the following figure, if LM || CB and LN || CD, prove that

Class 10 - Math - Triangles Page 128

Answer 1

Hello bhaiya

answer:-

∆ABC s LM || BC

.°. AM/MB = AL/LC ( from formula )--------(1)

∆ACD s LN || CD

.°. AN/ND = AL/LC --------------(2)

From (1) and (2) we got

AM/MB = AN/ND

=> MB/AM = ND/AN

=> MB/AM + 1 = ND/AN + 1

=> MB + AM/AM = ND + AN/AN

=> AB /AM = AD/AN

=> AM/AB = AN/AD

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