Respuesta :

Answer:

[tex]\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }[/tex]

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

[tex]\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you