Formulas & tables/Mathematics/Plane geometry/Area of a triangle (base and height)

Area of a triangle (base and height)

P=12ahP=\tfrac12 a h

Result unit: area units

What it describes

The area of a triangle is half the product of the base and the height dropped onto it.

Symbols

PP
area
aa
base
hh
height

Where it comes from

The simplest formula for the area of a triangle — half the product of the base and the height dropped onto it. It works for any triangle.

When to use it

When you know a base and its corresponding height.

Example

The base is 6 and the height is 4. Find the area of the triangle.
Substitutiona=6a=6, h=4h=4.
ResultP=12⋅6⋅4=12P=\tfrac12\cdot6\cdot4=12.

Related formulas

Found this formula useful? Share it.

It's free — send it to a friend who's revising.

Teaching? Embed this formula on your site.

Free widget — paste it on your school site, blog or notes. It links to the full version.

Teaching a class or tutoring? Guide students in NexTutor →