4. 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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Answer:
ABC is isosceles
Step-by-step explanation:
To prove: ABC is isosceles
proof : show that triangle AEB is congurent to triangle AFC
we know that
angle BEC = angle BEA = 90
similarly
angle BFC = angle AFC= 90 degree
angle A=angle A. (common)
BE = CF. (Given)
angle ABE = angle AFC. (proved above)
therefore triangle ABE is congurent to triangle AFC
Now,
AB=AC (cpct)
therefore triangle ABC is isosceles
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