#### Code (Python)

```
vertices = [[0, 0], [8, 0], [6, 6]]
# stores the two vertices used for calculating the base
baseVertices = None
# tracks the axis used for the base vertices
# 0 for a change in x, 1 for a change in y
axis = None
for i in [0, 1]:
for j in [i + 1, 2]:
if vertices[i][0] == vertices[j][0]:
baseVertices = [i, j]
# if the vertices are the same in the x-axis
# then they are different in the y-axis
axis = 1
break
elif vertices[i][1] == vertices[j][1]:
baseVertices = [i, j]
# if the vertices are the same in the y-axis
# then they are different in the x-axis
axis = 0
break
if baseVertices is None:
raise Exception("Triangle does not have perpendicular base and height")
base = vertices[baseVertices[0]][axis] - vertices[baseVertices[1]][axis]
base = abs(base)
# find the vertex that isn't used in calculating the base
for a in [0, 1, 2]:
if a != baseVertices[0] and a != baseVertices[1]:
otherVertex = a
break
invertedAxis = 1 - axis
# calculate the height
height = vertices[baseVertices[0]][invertedAxis] - vertices[otherVertex][invertedAxis]
height = abs(height)
area = base * height / 2
print(area) # prints 24.0
```