Triangle Area Formula

The formula for area of a triangle is given as:

A = ¹⁄₂bh

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

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.

Solution:

1. Let's plug the given dimensions into the formula.
2. A = ¹⁄₂bh
3. A = ¹⁄₂(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?

Solution:

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 = ¹⁄₂h²
6. 4.5 = ¹⁄₂h²
7. 9 = h²
8. h = 3
9. The height is 3 meters.