Calculate the Area of a Triangle

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1. The Challenge: Geometry Formula

Write a function tri_area(base, height) that takes the base and height of a triangle and returns its calculated area.

2. Why It Matters

Implementing mathematical formulas in code is a key skill in graphics, game physics, and data science algorithms.

3. The Python Solution

The geometric formula for the area of a triangle is (base * height) / 2:

def tri_area(base, height):
    return (base * height) / 2

# Testing our function
print(tri_area(3, 2))  # Output: 3.0
print(tri_area(7, 4))  # Output: 14.0
print(tri_area(10, 10)) # Output: 50.0

4. Integer Division vs. Float Division

• Single slash / performs float division in Python 3, returning a decimal number (e.g. 3.0).
• Double slash // performs floor division, discarding decimals to return a whole integer.

5. Common Mistakes

• Operator Precedence: Writing base * height / 2 works because multiplication and division share equal precedence from left to right. However, using parentheses (base * height) / 2 makes your code clearer.
• Zero Dimensions: If base or height is 0, the calculated area is 0.0.

6. Next Steps

Use / for float division. Next, let's find the next integer in sequence!