BE and CF are two equal altitudes of a triangle ABC. Usill( RHS congruence rule, prove that the triangle ABC is isoscel.es.

SoL Consider triangles BFC and CEB, We have BE = CF [Given] BC = CB [Common} and LBFC = LBEC [90° each] .. ABFC :: ACEB [lUlS rule] ==> LFBC = LECB i.e., LABC = LACB ==> AC = AB BC [CPCT] [Sides opposite t.o equal angles of a triangles are equal.] ==> A ABC is an isosceles triangle. •