Question

BE and CF are two equal altitudes of a triangle ABC. using RHS congruence rule prove that the triangle ABC is isosceles.
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plzz answer..!

Answer 1

Given
BE=CF

TO PROVE
Triangle ABC

PROOF
In triangle EBC and BCF

●angle BEC=angle CFB (90°)

●BE=CF (Hypotenuse)

●BC=BC (COMMON)

SO BY RHS CONGRUENCE RULE
triangle EBC ~= triangle BCF

AB=AC (CPCT)
angle A = angle B (CPCT)

SO ABC IS ISOCELES TRIANGLE

Answer 2

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