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Section 19.6 Functions Calling Functions - 2
Now that we have written and tested
distance, we can use it to help write
triangle_area. This function will take all six coordinates and return the area.
def triangleArea(x1, y1, x2, y2, x3, y3):
Do work to calculate area - use the distance function to help
return area
Recall that the formula we need to use is:
\(\sqrt{s (s - a) (s - b) (s - c)}\)
The work for this function will involve calling the distance function three times to calculate the lengths of the three sides (
a ,
b ,
c ). We then need to use those to calculate
s , the semi-perimeter.
Below is the code for the final program but jumbled up - figure out the right order.
Checkpoint 19.6.1 .
Put the blocks in the right order and indentation.
You will use all of the blocks.
def distance(x1, y1, x2, y2):
xChange = x2 - x1
yChange = y2 - y1
distance = math.sqrt( xChange ** 2 + yChange ** 2 )
return distance
---
def triangle_area(x1, y1, x2, y2, x3, y3):
---
a = distance(x1, y1, x2, y2)
b = distance(x2, y2, x3, y3)
c = distance(x1, y1, x3, y3)
---
perimeter = a + b + c
---
s = perimeter / 2 #semi-perimeter
---
area = math.sqrt(s * (s - a) * (s - b) * (s - c))
---
return area
---
# Main program
import math
p1x = 0
p1y = 0
p2x = 3
p2y = 1
p3x = 2
p3y = 6
testArea = triangle_area(p1x, p1y, p2x, p2y, p3x, p3y)
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