What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

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Question: What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

Options:

Correct Answer: 6

Solution:

The area is calculated as (1/2) * base * height = (1/2) * 4 * 3 = 6.

What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

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.

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