Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
let [tex]x1, y1=\ (2, 3)[/tex]
[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]
[tex](x3,y3)=\ (4,8)[/tex]
Now we know that
[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]
Now putting this value in the formula we get
[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]
[tex]=\ \frac{1}{2}\ *9.3649[/tex]
=4.6824
Therefore option(1) is the correct answer .
