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

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

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
10 months ago
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. •

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