Let `a ,\ b` and `c` denote the sides `B C ,\ C A` and `A B` respectively of ` A B C` . If `|1a b1c a1b c|=0,` then find the value of `s in^2A+s in^2B+s in^2C` .

Answer

Ans `=9/4`

Explanation

$$
\begin{aligned}
&\text { Given, }\left|\begin{array}{lll}
1 & \mathrm{a} & \mathrm{b} \\
1 & \mathrm{c} & \mathrm{a} \\
1 & \mathrm{~b} & \mathrm{c}
\end{array}\right|=0 \\
&\Rightarrow \mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}-\mathrm{ab}-\mathrm{bc}-\mathrm{ac}=0 \\
...