Question

What is the area of this triangle

Answer 1

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

`A = (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=(1)/(2)(y2-y1)(x3-x1)`

Answer:

The area of the triangle is:

`A=(1)/(2)(y2-y1)(x3-x1)`

Option D