A triangle has vertices at (0, 0), (4, 0), and (0, 3). What is its area?
Practice Questions
Q1
A triangle has vertices at (0, 0), (4, 0), and (0, 3). What is its area?
6 cm²
12 cm²
8 cm²
10 cm²
Questions & Step-by-Step Solutions
A triangle has vertices at (0, 0), (4, 0), and (0, 3). What is its area?
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 = 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 cm².
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 identify the base and height of a triangle given its vertices in a coordinate plane.
