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Area of a Triangle

Learn how to find the area of a triangle.

Area of a Triangle Lesson

Triangle Area Formula

The formula for area of a triangle is given as:

A = 12bh

Where A is the area, b is the base, and h is the height.

area of a triangle
The Formula for the Area of a Triangle
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Area of a Triangle Example Problems

Let's go through a couple of example problems together to practice finding the area of a triangle.

Example Problem 1

Find the area of a triangle with a base of 10 and a height of 5.


  1. Let's plug the given dimensions into the formula.
  2. A = 12bh
  3. A = 12(10)(5) = 25
  4. The area is 25.

Example Problem 2

A triangle's area is measured to be 4.5 square meters and it has an equal base and height. What is the height in meters?


  1. Let's equate the base and height so that we can substitute height in for base.
  2. b = h
  3. bh = h2
  4. Now we can plug the given value into the formula and solve for the height h.
  5. A = 12h2
  6. 4.5 = 12h2
  7. 9 = h2
  8. h = 3
  9. The height is 3 meters.
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