In a triangle abc ,ad is perpendicular bisector of bc.Show that triangle abc is an isosceles triangle in which ab=ac
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In ΔABD and ΔACD
A
D=AD (common side)
B
D=CD (given)
∠ADB=∠ADC (right angle)
So,
Δ
ABD≅ΔACD
So,
AB=AC
This proves that ΔABC is isosceles triangle.
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