Question: If the coordinates of a triangle\'s vertices are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?
Options:
6
12
8
10
Correct Answer: 6
Solution:
Area = 1/2 * base * height = 1/2 * 4 * 3 = 6.
If the coordinates of a triangle's vertices are (0, 0), (4, 0), and (0, 3), what
Practice Questions
Q1
If the coordinates of a triangle's vertices are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?
6
12
8
10
Questions & Step-by-Step Solutions
If the coordinates of a triangle's vertices are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?
Step 1: Identify the coordinates of the triangle's vertices. They 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). This distance 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). This distance is 3 units.
Step 4: Use the formula for the area of a triangle: Area = 1/2 * base * height.
Step 5: Substitute the values of the base and height 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 given its vertices in a coordinate plane.
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