Ramanadha Sastry, Aravindan and Sivaprakasan were his school friends. Ramanadha Sastry became a priest of the Rameswaram temple. Aravindan went into the business of arranging transport for visiting pilgrims. Sivaprakasan became a catering contractor for the Southern Railways.
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig). Show that
(i) ∆ ABE ≅ ∆ ACF
(ii) AB = AC, i.e., ABC is an isosceles triangle.

∆ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that ∠ BCD is a right angle.

