In the adjoining figure AB=AC and BD=DC. Prove that
i)AD perpendicular to BC
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we can do this bb proving that Triangles ABD and ACD are equal as
AB= AC (given)
Angle b = angle c (base angle of isoceles triangle are equal )
bd =dc (given)
therefore Angle ABD = Angle ADC
and since these angles also form a linear pair
therefore,
Angle ABD+Angle ADC = 180 degree
2 Angle ABD = 180 DEGREE ( as Angle ABD = Angle ADC )
Angle ABD =90 degree
therefore
AD perpendicular to BC
Hope it helps pls mark brainliest
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