1.(iii) and are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig.). If AD is extended to intersect BC at P, show that
(iii) AP bisects as well as .
In the first part, we have proved that .
So, by c.p.c.t. .
Hence AP bisects .
Now consider and ,
(ii) (Isosceles triangle)
(iii) (by c.p.c.t. from the part (b))
Thus by SSS congruency we have :
Hence by c.p.c.t. we have :
or AP bisects .
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