If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3),

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Question: If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?

Options:

6 square units
12 square units
8 square units
10 square units

Correct Answer: 6 square units

Solution:

The area of a triangle can be calculated using the formula A = 1/2 * base * height. Here, base = 4 and height = 3, so A = 1/2 * 4 * 3 = 6 square units.

If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3),

Practice Questions

If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?

6 square units
12 square units
8 square units
10 square units

Questions & Step-by-Step Solutions

If the coordinates of the vertices of a triangle 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), 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 (the x-axis), which is 3 units.
Step 4: Use the area formula for a triangle: A = 1/2 * base * height.
Step 5: Substitute the values into the formula: A = 1/2 * 4 * 3.
Step 6: Calculate the area: A = 1/2 * 12 = 6 square units.

Area of a Triangle – The area of a triangle can be calculated using the formula A = 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.

If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3),

What’s inside this PDF?

If the coordinates of the vertices of a triangle are (0, 0), (4, 0), and (0, 3),

Practice Questions

Questions & Step-by-Step Solutions

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