`Delta ABC` में सिद्ध कीजिए कि -
` a sin^(2) . C/2 + c sin ^(2) . A/2 = ( a+ b+ c)/2 `

Explanation

` L.H.S = a sin^(2) .C/2 + c sin^(2). A/2 `
` = a * ((s-a)(s-b))/(ab) + c* ((s-b)(s-c))/(bc)`
` = ( s-b)/b ( s-a+s-c)`
` = ( 2s- 2b)/(2b) ( 2s-a-c)`
` = (a+b+c-2b)/(2b) (a=b+c-a-c)`
` = (a-b+c)/(2b)*b`
` = (a+c-b)/2 = R.H.S`