## Area of a Triangle Lesson

### Triangle Area Formula

The formula for area of a triangle is given as:

**A = ^{1}⁄_{2}bh**

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

INTRODUCING

### 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:

- Let's plug the given dimensions into the formula.
- A =
^{1}⁄_{2}bh - A =
^{1}⁄_{2}(10)(5) = 25 **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:

- Let's equate the base and height so that we can substitute height in for base.
- b = h
- bh = h
^{2} - Now we can plug the given value into the formula and solve for the height
*h*. - A =
^{1}⁄_{2}h^{2} - 4.5 =
^{1}⁄_{2}h^{2} - 9 = h
^{2} - h = 3
**The height is 3 meters.**