Answer:
Option A is the answer.
Step-by-step explanation:
The area of the triangle is given as :
[tex]A=\frac{1}{2}\times base\times height[/tex]
Base will be given by :
[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]
= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]
Similarly the height will be given by:
[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]
= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]
Now, putting these dimensions in the formula we get:
[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]
Therefore, option A is the answer.
