BE & CF are equal altitude of a triangle ABC. Using RHS rule prove that the triangle is isosceles.
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BE & CF are equal altitude of a triangle ABC. Using RHS rule prove that the triangle is isosceles.
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Answer:
Step-by-step explanation:In ∆BCF AND ∆BCE
angleBFC= angleCEB ( both 90°)
CF=BE (given)
BC=BC ( common)
Hence,
∆BCF=~∆BCE
THEREFORE,
angleABC =angle ACB ( CPCT)
AB=AC (side opposite to equal angles are equal)
Hence, ∆ ABC is an isosceles triangle.
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