Determine the area of the triangle formed by the points (0, 0), (4, 0), and (0,
Practice Questions
Q1
Determine the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3).
6
12
8
10
Questions & Step-by-Step Solutions
Determine the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3).
Step 1: Identify the points that form the triangle. The points 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) to the base line (y = 0), which is 3 units.
Step 4: Use the formula for the area of a triangle: Area = 1/2 * base * height.
Step 5: Substitute the values into the formula: Area = 1/2 * 4 * 3.
Step 6: Calculate the area: Area = 1/2 * 12 = 6.
Area of a Triangle – The area of a triangle can be calculated using the formula Area = 1/2 * base * height, where the base and height are perpendicular to each other.
Coordinate Geometry – Understanding how to plot points on a Cartesian plane and determine the base and height of a triangle formed by those points.
