Find the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3).
Practice Questions
Q1
Find 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
Find the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3).
Correct Answer: 6
Step 1: Identify the points of 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) straight down to the base, 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 determine the base and height of a triangle formed by points in a Cartesian coordinate system.
