Find the area of the triangle with vertices (0,0), (4,0), (0,3).

Find the area of the triangle with vertices (0,0), (4,0), (0,3).

Step 1: Identify the vertices of the triangle. The vertices are (0,0), (4,0), and (0,3).
Step 2: Determine the base of the triangle. The base is the distance between the points (0,0) and (4,0), which is 4 units.
Step 3: Determine the height of the triangle. The height is the distance from the point (0,3) straight down to the base, which is 3 units.
Step 4: Use the formula for the area of a triangle: Area = 0.5 * base * height.
Step 5: Substitute the values into the formula: Area = 0.5 * 4 * 3.
Step 6: Calculate the area: Area = 0.5 * 12 = 6.

Area of a Triangle – The area of a triangle can be calculated using the formula Area = 0.5 * base * height, where the base and height are perpendicular to each other.
Coordinate Geometry – Understanding how to identify the base and height of a triangle given its vertices in a coordinate plane.