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"\\( \\begin{aligned} 4 . & \\text { ABC is a triangle in which altitudes } \\mathrm { BD } \\text { and } \\mathrm { CE } \\text { to sides } \\mathrm { AC } \\\\ \\text { and } \\mathrm { AB } \\text { are equal (see figure). Show that } \\\\ \\text { (i) } & \\Delta \\mathrm { ABD } \\cong \\text { ACE } \\\\ \\text { (i) } & \\mathrm { AB } = \\text { AC i.e., } \\mathrm { ABC } \\\\ \\text { is an isosceles triangle. } & \\text { A } \\end{aligned} \\)"

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