# The height of a triangle is 5 m less than half its base. If the area of the triangle is 300 m2, how do you find the measure of the height?

##### 1 Answer

Aug 18, 2016

height

#### Explanation:

The formula for area of the triangle is

Let the base be

Then:

Solve by completing the square:

Hence, the base measures #40" meters" (a negative length is impossible).

The height therefore measures

Hopefully this helps!