3. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig.). Show that these altitudes are equal.
Consider and ,
(i) is common in both the triangles.
(ii) (Right angles)
Thus by AAS congruence axiom, we can conclude that :
Now, by c.p.c.t. we can say :
Hence these altitudes are equal.