A B C is an isosceles triangle in whic...

`A B C` is an isosceles triangle in which `A B=A Cdot` If `D\ a n d\ E` are the mid-points of `A B\ a n d\ A C` respectively, prove that the points `B ,\ C ,\ D\ a n d\ E` are concyclic.

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Solution:
`DE |\ | BC`(By midpoint theorum)
`/_1 + /_2 =180^@`........`(1)`
`/_2 + /_4 =180^@`.......`(2)`
From `(1)` and `(2)`
`/_1 =/_4`
`/_4 + /_2 =180^@`
`/_3 + /_1 =180^@`
Hence proved `B,C,D,E` are concyclic.

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