Q8 of 168 Page 5

In Fig. 4.141 such that AE = (1/4) AC. If AB = 6 cm, find AD.

We have, DE||BC, AB = 6cm and AE = 1/4 AC


In ΔADE and ΔABC


<A = <A (Common)


<ADE = <ABC (Corresponding angles)


Then, ΔADE ~ ΔABC (By AA similarity)


So, (Corresponding parts of similar triangle area proportion)


Or (AE = 1/4 AC Given)


Or ,


Or, AD = 6/4


Or, AD = 1.5cm


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