# How do you find the exact area of a triangle with a base of square root 30 meters and a heigh of square root 6 meters?

Sep 14, 2015

I found $3 \sqrt{5} m$

#### Explanation:

The area of the triangle is:
$A = \frac{1}{2} b a s e \times h e i g h t$
$A = \frac{1}{2} \sqrt{30} \cdot \sqrt{6} =$
$= \frac{1}{2} \sqrt{6 \cdot 5} \cdot \sqrt{6} = \frac{1}{2} \sqrt{6} \sqrt{6} \sqrt{5} =$
$= \frac{1}{2} \cdot 6 \sqrt{5} = 3 \sqrt{5} m$