What is the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3)

Practice Questions

Q1
What is the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3)?
  1. 6
  2. 12
  3. 8
  4. 10

Questions & Step-by-Step Solutions

What is the area of the triangle formed by the points (0, 0), (4, 0), and (0, 3)?
Correct Answer: 6
  • Step 1: Identify the points of the triangle. The points 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) to the base line (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.
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