Altitude Theorem Calculator

This calculator calculates the altitude (height) of a triangle given its base and area.

Input Parameters

Calculation Results

Calculation Formula

h = 2A/b

Where:
h = altitude (height) of the triangle
A = area of the triangle
b = base of the triangle

Result

Altitude (h):

Altitude Theorem Calculator Calculator Usage Guide

Learn how to use the Altitude Theorem Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the length of the base of your triangle in the "Base" field (e.g., 10).
  2. Enter the area of your triangle in the "Area" field (e.g., 50).
  3. Click the "Calculate" button to compute the altitude.
  4. The result will be displayed in the "Altitude" field.

Understanding the Altitude Theorem

The altitude (height) of a triangle is the perpendicular distance from a vertex to the opposite side (base). The formula used in this calculator is derived from the area formula for triangles:

Area = (1/2) × base × height

By rearranging this formula, we can calculate the height (altitude) when we know the area and base:

height = 2 × Area / base

Example

If a triangle has a base of 10 units and an area of 50 square units, the altitude can be calculated as:

height = 2 × 50 / 10 = 10 units

Applications

This calculator can be used in various fields including:

  • Geometry and mathematics education
  • Engineering and architecture
  • Land surveying and construction
  • Physics problems involving forces and areas