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Orthocenter of Triangle Calculator

Online triangle area (base × height) calculator. Enter a base and its height to find area = base × height ÷ 2, and learn the three altitudes meet at the orthocenter—great for triangles.

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Area = base×height/2
Base length
Perpendicular height

📖 Tutorial | Altitude

1. Definition
An altitude is the perpendicular segment from a vertex to the opposite side or its extension.
2. Formula & Notation
bBase length
hCorresponding height
SArea, b·h/2
3. Properties & Laws
  • Area = base×height/2;
  • Altitude lines meet at the orthocenter;
  • Obtuse triangles have two altitudes outside;
  • Equal base and height, equal area.
4. Steps
  1. Enter base b and height h;
  2. Click "Find Area";
  3. Or click "Load Example".
5. Worked Examples
Example: base 10, height 6.
Solution: area = 10×6/2 = 30.
6. Common Pitfalls
Height must match the base;
Do not forget to divide by 2;
Altitudes may lie outside.

❓ FAQ | Altitude

What is an altitude?
Perpendicular segment to the opposite side.
How is area found?
Base times height divided by 2.
10 and 6 area?
30.
Obtuse altitudes?
Two outside, feet on extensions.
Do altitudes meet?
At the orthocenter.
Equal base and height?
Equal area.