Question

in below figure we have AD=1/2 AB AND BE=1/2 BC. IF AB=BC show that AD=CE

Answer 1

Given :

AB = BC

AD = 1/2 AB

BE = 1/2  BC

To prove : AD = CE

CE = BC - BE

But it is given BE = 1/2 BC

= > CE = BC - 1/2 BC

= > CE = BC - BC / 2

= > CE = ( 2 BC - BC ) / 2

= > CE = BC / 2

But BC = AB [ Given ]

So :

CE = AB / 2

Also AD = AB / 2

So :

CE = AD [ Proved ]