The length of the altitude is 
Explanation:
Let ABC be an equilateral triangle.
It has sides of length 16 cm
Let AD be the altitude of the triangle.
We need to determine the length of an altitude.
Let AC = 16 cm and CD = 8 cm
Let us consider the right angled triangle ADC
Using the Pythagorean theorem, we have,

Substituting the values, we get,




The length of the altitude is 
Answer: the maximum number of drinks Liam can buy is 4 without over exceeding his price limit.
work:
$3.50 for 5 tacos is $17.50
9 - 5 tacos = 4 drinks
4 drinks x $2 = $8
$17.50 + $8 = $25.50 out of $30 price limit
Perpendicular bisectors help you find the centroid; altitudes help find the orthocenter. This is all in a triangle.