Question

What is the area of this triangle

Answer 1

By definition, the area of a triangle is given by:

$A = \frac{1}{2}bh$

Where,

b: base of the triangle

h: height of the triangle

To find the base of the triangle, we subtract the coordinates of the vertical axis.

We have then:

$b = y2-y1$

To find the height of the triangle, we subtract the coordinates of the horizontal axis.

We have then:

$h = x3-x1$

Substituting values we have:

$A=\frac{1}{2}(y2-y1)(x3-x1)$

Answer:

The area of the triangle is:

$A=\frac{1}{2}(y2-y1)(x3-x1)$

Option D