Option D is correct
Step-by-step explanation:
![\text{Given a triangle whose vertices are }(x_1, y_1), (x_1, y_2) , (x_3, y_3)](/tpl/images/0351/0813/5fb2f.png)
we have to find the area of triangle.
As we know area of triangle can be calculated by the formula
![\frac{1}{2}\times base\times height](/tpl/images/0351/0813/4c700.png)
Base of triangle is the line joining the coordinates
whose length is = ![(y_2-y_1)](/tpl/images/0351/0813/45292.png)
Now height of triangle is the perpendicular line from the vertex
whose length is ![(x_3-x_1)](/tpl/images/0351/0813/02857.png)
Hence, area of triangle is
![\frac{1}{2}\times (y_2-y_1)\times (x_3-x_1)](/tpl/images/0351/0813/42f39.png)
Option D is correct