Q10 of 168 Page 5

In Fig. 4.143, , prove that . Also, find the value of x.

We have, <A = <CED


In ΔCAB and ΔCED


<C = <C (Common)


<A = <CED (Given)


Then, ΔCAB ~ ΔCED (By AA similarity)


So, (Corresponding parts of similar triangle area proportion)


Or,15/9 = 9/x


Or, 15x = 90


Or, x = 90/6


Or, x = 6cm.


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