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

Practice Questions

Q1
What is the area of a triangle with vertices at (0, 0), (4, 0), and (4, 3)?
  1. 6
  2. 12
  3. 8
  4. 10

Questions & Step-by-Step Solutions

What is the area of a triangle with vertices at (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 = 0.5 * base * height.
  • Step 5: Substitute the values into the formula: Area = 0.5 * 4 * 3.
  • Step 6: Calculate the area: Area = 0.5 * 12 = 6.
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