Q.

In the given figure below, AD/AE = AC/BD and 1=2.. Show that Δ BAE~ΔCAD .


Ans.

In ABC,  1=2

 AB = BD                                                        ..............(i)

Given, ADAE=ACBD

Using equation (i), we get ADAE=ACAB           .............(ii)

In ΔBAE and ΔCAD, by equation (ii), ACAB=ADAE

and A=A (common)

 ΔBAE ~ ΔCAD [By SAS similarity criterion]