Find the area of the triangle with vertices (0,0), (4,0), and (4,3).
Practice Questions
Q1
Find the area of the triangle with vertices (0,0), (4,0), and (4,3).
6
12
8
10
Questions & Step-by-Step Solutions
Find the area of the triangle with vertices (0,0), (4,0), and (4,3).
Step 1: Identify the vertices of the triangle. The vertices are (0,0), (4,0), and (4,3).
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 vertical distance from the point (4,3) to the base (y=0), 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 given its vertices in a coordinate plane.
