Geometry

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# Area of a Triangle

## Triangle Area Formula

**A = ^{1}⁄_{2}bh**

Where

*A*is the area,

*b*is the base, and

*h*is the height.

### Example Problems

**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.

A = ^{1}⁄_{2}bh

A = ^{1}⁄_{2}(10)(5) = 25

2.) **The area is 25.**

**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.

b = h

bh = h^{2}

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

3.) **The height is 3 meters.**