Question

What is the area of this triangle?

Answer 1

Answer:

Option D is correct

Step-by-step explanation:

$\text{Given a triangle whose vertices are }(x_1, y_1), (x_1, y_2) , (x_3, y_3)$

we have to find the area of triangle.

As we know area of triangle can be calculated by the formula

$\frac{1}{2}\times base\times height$

Base of triangle is the line joining the coordinates $(x_1, y_1), (x_1, y_2)$ whose length is = $(y_2-y_1)$

Now height of triangle is the perpendicular line from the vertex $(x_3, y_3)$ whose length is $(x_3-x_1)$

Hence, area of triangle is

$\frac{1}{2}\times (y_2-y_1)\times (x_3-x_1)$

Option D is correct

Answer 2

The answer is D.) A=1/2(y2-y1)(x3-x1).
Explanation:
Area of a triangle equals side×height.
In this case height is x3-x1, and side y2-y1.