A line segment is drawn joining the points $(0,6)$ and $(4,0)$, as shown. The area of the shaded triangle is
(A) 12
(B) 5
(C) 18
(D) 10
(E) 48

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-015.jpg?height=266&width=309&top_left_y=1016&top_left_x=1315)
The length of the base is the distance from the origin to the point $(4,0)$ or 4 .

The height is the distance from the origin to the point $(0,6)$ or 6 .

Thus, the area of the triangle is $\frac{1}{2} \times 4 \times 6=12$.

(We note that the base and height are perpendicular.)

ANSWER: (A)