Question: What is the area of a triangle formed by the points (0, 0), (4, 0), and (0, 3)?
Options:
6
12
8
10
Correct Answer: 6
Solution:
The area of a triangle is given by (1/2) * base * height. Here, base = 4 and height = 3, so area = (1/2) * 4 * 3 = 6.
What is the area of a triangle formed by the points (0, 0), (4, 0), and (0, 3)?
Practice Questions
Q1
What is the area of a triangle formed by the points (0, 0), (4, 0), and (0, 3)?
6
12
8
10
Questions & Step-by-Step Solutions
What is the area of a 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) straight down to the base (the x-axis), 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 (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.
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