Respuesta :

Given:

A right triangle on a coordinate plane.

To find:

The area of a triangle.

Solution:

We know that, the area of a triangle is

[tex]A=\dfrac{1}{2}\times Base \times Height[/tex]

From the given figure it is clear that the base of the triangle is 4 units and the height is 3 units. So, the area of the given triangle is

[tex]A=\dfrac{1}{2}\times 4 \times 3[/tex]

[tex]A=\dfrac{12}{2}[/tex]

[tex]A=6[/tex]

The area of the given triangle is 6 units². Therefore, the correct option is B.