If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is its area?
Practice Questions
Q1
If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is its area?
6
12
8
10
Questions & Step-by-Step Solutions
If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is its area?
Step 1: Identify the coordinates of the vertices of the triangle. They are A(0, 0), B(4, 0), and C(0, 3).
Step 2: Determine the base of the triangle. The base is the distance between points A and B, which is 4 units (from (0, 0) to (4, 0)).
Step 3: Determine the height of the triangle. The height is the distance from point C to the line AB, which is 3 units (the y-coordinate of point C).
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 identify the base and height of a triangle given its vertices in a coordinate plane.
