# What is the area of a right triangle with sides of 5, 12, and 13?

##### 1 Answer
Jun 25, 2015

The area is $30$

#### Explanation:

The triangle is right, so the longest side is a hypotenuse. This means, that the other sides are perpendicular. So we can treat one of them as a side, and the other as height. So the area is:

$A = \frac{1}{2} \cdot a \cdot h = \frac{1}{2} \cdot 12 \cdot 5 = 6 \cdot 5 = 30$