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Triangle Height Calculator

Find a triangle's height from its base and area.

Change the values and press Calculate to work out your own figures.

Enter the base and the area.

About base bThe third side.
About areaIn square units.
Result
Height of the triangle
5

The height is 5.

Show the working
  1. A = ½ b h, so h = 2A ÷ b
  2. h = 2 × 25 ÷ 10 = 5

How to use it

Enter the base and the area.

Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.

Key facts

h = 2A ÷ b

Any side as the base

Every side has its own height; the triangle calculator lists all three.

Questions

What is the height with base 10 and area 25?

5.

Why double the area?

Because the area is half base × height.

Formulas

h = 2A ÷ b

Sources

Limitations

  • Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).

Formula version 0.1.0Reviewed