Final answer:
To find the area of the triangle, use the formula: Area = 1/2 * base * height. Use the distance formula to find the base and height of the triangle using the given coordinates of the corners. Finally, plug the base and height into the formula to calculate the area.
Step-by-step explanation:
To find the area of a triangle, we can use the formula:
Area = 1/2 * base * height
Given the coordinates of the three corners of the triangle: (2,1), (3,4), and (0,5), we can use the distance formula to find the base and height:
Base = distance between (2,1) and (3,4) = sqrt((3-2)^2 + (4-1)^2)
Height = distance between (0,5) and the line segment connecting (2,1) and (3,4)
Once we have the base and height, we can plug them into the formula to find the area of the triangle.