Answer:
Option D is correct
Step-by-step explanation:
[tex]\text{Given a triangle whose vertices are }(x_1, y_1), (x_1, y_2) , (x_3, y_3)[/tex]
we have to find the area of triangle.
As we know area of triangle can be calculated by the formula
[tex]\frac{1}{2}\times base\times height[/tex]
Base of triangle is the line joining the coordinates [tex](x_1, y_1), (x_1, y_2)[/tex] whose length is = [tex](y_2-y_1)[/tex]
Now height of triangle is the perpendicular line from the vertex [tex](x_3, y_3)[/tex] whose length is [tex](x_3-x_1)[/tex]
Hence, area of triangle is
[tex]\frac{1}{2}\times (y_2-y_1)\times (x_3-x_1)[/tex]
Option D is correct
