Question

The points (0, 1), (7, 1), and (2, -3) represent the vertices of a triangle. What is the area, in square units, of the triangle?

Answer 1

14
`u^2`

Explanation:

The attached image shows the diagram of the triangle drawn on the Cartesian plane.

We can see that it has the following measures:

base:
`b=7u`

height:
`h=4u`

the area of a triangle is given by the formula:

`A=(b*h)/(2)`

substituting the values:

`A=((7u)(4u))/(2)\\ \\A=(28u^2)/(2) \\\\A=14u^2`

the area, in square units, of the triangle is 14