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.