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Triangle Area (Base & Height)

Triangle Area Calculator

Base & Height Method

Calculate the area of any triangle using base and height measurements. Learn the fundamental triangle area formula with step-by-step calculations and visual examples.

Calculator

The length of the triangle's base (any side can be the base)

cm

The perpendicular distance from the base to the opposite vertex

Quick Examples:

Results

Enter the base and height measurements, then click "Calculate Area" to find the triangle's area.

Understanding Triangle Area Formula

The triangle area formula Area = ½ × base × height is fundamental in geometry. It works because a triangle is exactly half of a parallelogram with the same base and height.

Key Concepts

Base

Any side of the triangle can serve as the base. It doesn't have to be the bottom side!

Height

The perpendicular distance from the base to the opposite vertex. Always forms a 90° angle with the base.

Why ÷ 2?

A triangle is exactly half the area of a rectangle with the same base and height dimensions.

Real-World Applications

Construction & Architecture

Calculating roof areas, triangular garden plots, and structural supports

Art & Design

Creating triangular patterns, logos, and calculating material needed for triangular shapes

Navigation & Surveying

Measuring land areas, calculating distances, and triangulation in GPS systems

Visual Understanding

Rectangle Area = base × height

Triangle Area = (base × height) ÷ 2

A triangle has exactly half the area of a rectangle with the same base and height

Learn More

Explore different methods of calculating triangle area and related concepts.

Related Calculators

Try other triangle calculators and geometry tools.