📐 Triangle Area Explorer

Adjust the Base and Height sliders below. Use the "Top Point" slider to shift the triangle left or right. Notice how the Area stays exactly the same!

Base
10
Height
8
Area
40
10 8
Base
10
Height
8
Top Point
↔ Move

📝 The Math Breakdown

  • Look at the Dashed Box: If you multiplied the Base by the Height, you would get the area of the entire dashed rectangle (10 × 8 = 80).
  • The Triangle Secret: No matter where you move the top point, a triangle is always exactly half the size of that rectangle!

    Formula: Area = (Base × Height) ÷ 2
    Calculation: (10 × 8) ÷ 2 = 40