4.(i) ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig). Show that

(i) \small \Delta ABE \cong \Delta ACF

             

Answers (1)

Consider \Delta ABE  and  \Delta ACF ,

(i)    \angle A  is common in both the triangles.

(ii)    \angle AEB\ =\ \angle AFC              (Right angles)

(iii)   BE\ =\ CF                             (Given)

Thus by  AAS congruence, we can say that :

                                              \small \Delta ABE \cong \Delta ACF   

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