Final answer:
To find the area of a triangle with given vertices, use the formula 1/2 * base * height. Substitute the values and calculate the area.
Step-by-step explanation:
To find the area of a triangle with vertices given, you can use the formula for the area of a triangle which is 1/2 * base * height. In this case, the vertices are (1, 0), (6, 0), and (4, 3). The base of the triangle is the distance between the points (1, 0) and (6, 0), which is 6 - 1 = 5 units.
The height of the triangle is the distance from the third vertex (4, 3) to the line formed by the base, which is the distance between the points (4, 3) and (4, 0), which is 3 units.
Now we can substitute the values into the formula: Area = 1/2 * 5 * 3 = 7.5 square units. So, the area of the triangle is 7.5 square units.