Q2 of 56 Page 119

Two points D and E lie on sides AB and AC respectively of ΔABC. Give the information that DE|| BC is not true through the values given in the following questions:

AB = 12 cm, AD = 8 cm, AE = 12 cm and AC = 18 cm.


Suppose DE||BC,


In ΔADE & ΔABC,


∠A = ∠A |common angle


∠ADE = ∠ABC |corresponding angles


ΔADE~ΔABC by AA Similarity Rule


By Thales Theorem,


should be true for DE||BC.


Here,



Hence, DE||BC is true.


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