Triangle Height Calculator

How to Calculate Triangle Height

The height of a triangle is the perpendicular distance from a vertex to the opposite side (or its extension). It's a crucial measurement in geometry, often used to calculate the area of a triangle.

Formula

The formula to calculate the height of a triangle given its base and area is:

\[ h = \frac{2A}{b} \]

Where:

• h = Height of the triangle
• A = Area of the triangle
• b = Base of the triangle

Calculation Steps

1. Identify the known values: base (b) and area (A) of the triangle.
2. Apply the formula: h = 2A / b
3. Substitute the known values into the formula.
4. Perform the calculation to find the height.

Example

Let's calculate the height of a triangle with a base of 6 units and an area of 24 square units.

1. Known values:
   • b = 6 units
   • A = 24 square units
2. Apply the formula: \[ h = \frac{2A}{b} = \frac{2 \times 24}{6} \]
3. Calculate: \[ h = \frac{48}{6} = 8 \text{ units} \]

Therefore, the height of the triangle is 8 units.

Visual Representation

This diagram illustrates a triangle with base 6 units, area 24 square units, and the calculated height of 8 units.