draw an Isosceles triangle ABC in which AB=AC draw median from A on BC and also altitudes from A on BC are median or altitude same here
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In ΔABP and ΔACP,
∠APB=∠APC (Both equal to 90°)
AB=AC [∵ΔABC is an isosceles triangle.]
AP=AP (Common Side)
By R.H.S. criterion of congruence,
△ABP≅△ACP
⇒∠B=∠C (CPCT)
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