# The area of a triangle is 16 more than the base. If the height is 6, what is the length of the base?

Feb 9, 2016

The length of the base is 8

#### Explanation:

Let the base length be $\text{ } B$

Let the area be $\text{ } A$

Let the height be $\text{ } H = 6$

Known: $A = \frac{1}{2} B \times H$

But $\text{ "A=16+B" and } H = 6$

$\implies 16 + B = \frac{1}{2} B \times 6$

$16 + B = 3 B$

$2 B = 16$

$B = 8$