If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is the area of

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Question: If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is the area of the triangle?

Options:

Correct Answer: 6

Solution:

Area = (1/2) * base * height = (1/2) * 4 * 3 = 6.

If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is the area of the triangle?

If a triangle has vertices at A(0, 0), B(4, 0), and C(0, 3), what is the area of the triangle?

Step 1: Identify the vertices of the triangle. The vertices 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(0, 0) and B(4, 0). This distance is 4 units.
Step 3: Determine the height of the triangle. The height is the vertical distance from point C(0, 3) to the line formed by points A and B. 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 the placement of points in a Cartesian coordinate system and how to derive geometric properties from them.