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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Step-by-step explanation:
In triangle BFC and triangle BCE
90 = 90 (given)
BC = BC (common)
CF = BE (given)
therefore triangle BFC and triangle BCE are congruent by RHS
angle B = angle C by cpct
therefore triangle ABC is an isosceles triangle
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