#### Right Triangles

- A right triangle, or right-angled triangle, is a triangle in which one of the corners has an angle of 90
^{o} - For example:
- To show that it is a 90
^{o} angle we add a little square in the corner: This is also called a 'right angle' - The longest side of the triangle is always the one opposite the right angle. This side is called the 'hypotinuse':

#### Pythagorean theorem

- The pythagorean theorem can be used to find the length of the hypotinuse given the length of the other two sides.
- if
`a`, `b`, and `c` are the length of the three sides: - The pythagorean theorem states that:
`c`^{2} = a^{2} + b^{2}

#### Example

- if
`a` = 4 and `b` = 3, calculate the length of `c` - Using the pythagorean theorem, we know that:
- Now we just solve for
`c`:

#### Finding other sides

- We can also use the pythagorean theorem to find the length of any side, given that we know the other two.
- For example: if
`a` = 8 and `c` = 10, calculate the length of `b` - Using the pythagorean theorem, we know that:
- Now we solve for
`b`:

#### code (Python)

```
import math
a = 4
b = 3
c = math.hypot(a, b)
print(c) # prints: 5
```