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\(ABC\) is a triangle in which altitudes \(BE\) and \(CF\) to sides \(AC\) and \(AB\) are equal.
 
Screenshot_125.png
 
Show that
 
(i) \(∆ ABE ≅ ∆ ACF\)
 
(ii) \(AB = AC\), i.e., \(ABC\) is an isosceles triangle
 
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This is a creative exercise. Your teacher will check it manually.