# What is the area of a triangle with sides of length 2, 3, and 2?

Jan 21, 2016

The area of this triangle is $A \approx 1.98$

#### Explanation:

You can use the Heron's formula to calculate the area of a triangle with given side lengths:

$p = \frac{a + b + c}{2} = 3.5$ is half of a perimeter.

Now we can write that the area is:

$A = \sqrt{p \left(p - a\right) \left(p - b\right) \left(p - c\right)}$

So:

$A = \sqrt{3.5 \cdot 1.5 \cdot 0.5 \cdot 1.5}$

$A \approx 1.98$