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

`A B C` is an isosceles triangle in which `A B=A CdotB E\ a n d\ C F` are its two medians. Show that `B E=C Fdot`

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Solution
`ABC` is an isosceles triangle (given)
`AB = AC` (given)
`BE` and `CF` are two medians (given)
To prove: `BE = CF`
In `/_CFB and /_BEC`
`CE = BF`(Since, `AC = AB = AC/2 = AB/2 =CE = BF`)
`BC =BC`(Common)
`/_ECB = /_FBC`(Angle opposite to equal sides are equal)
By SAS theorem: `/_\CFB= /_\BEC`
So, `BE = CF`(By c.p.c.t)
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