Question

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Answer 1

`8 ft^2`

Explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

`A=(1)/(2)bh`

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

`AC=√((0-(-4))^2+(1-1)^2)=4`

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

`h=(5-1)=4 ft`

Therefore, the area of the triangle is:

`A=(1)/(2)(4)(4)=8 ft^2`