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

4.ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig). Show tha \small \Delta ABE \cong \Delta ACF    

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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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Devendra Khairwa

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