Named Pythagoras found an amazing fact about triangles:
f the triangle had a right angle (90°) …
… and you made a square on each of the three sides, then …
… the biggest square had the exact same area as the other two squares put together!
It is called “Pythagoras’ Theorem” and can be written in one short equation:
a2 + b2 = c2
The longest side of the triangle is called the “hypotenuse”, so the formal definition is:
In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.
Example: A “3,4,5” triangle has a right angle in it.
Let’s check if the areas are the same:
32 + 42 = 52
Calculating this becomes:
9 + 16 = 25