Final answer:
The area of the triangle is 6 square units.
Step-by-step explanation:
The area of a triangle can be calculated using the formula: Area = 1/2 × base × height.
To find the area of the triangle with coordinates (-3,3), (1,1), (1,4), we first need to find the base and height of the triangle. The base can be found by calculating the length between the points (-3,3) and (1,3), which is 4 units. The height can be found by calculating the length between the points (1,1) and (1,4), which is 3 units.
Now, we can substitute the base and height values into the formula: Area = 1/2 × 4 × 3 = 6 square units.