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Right Triangle Sides Relation
Why
How does constraining a triangle to be a right
angle constrain the lengths of its sides?
Result
Let $a$ and $b$ be the lengths of the sides
of a right triangle and $c$ be the length of
the hypotenuse. Then
\[
a^2 + b^2 = c^2.
\]
The result is called Pythagorean
theorem and the equation is called the
Pythagorean equation.