Pythagoras’ Theorem

pythagoras-abc

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

pythagoras-squares

Definition

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.

pythagoras-3-4-5

 

Let’s check if the areas are the same:

32 + 42 = 52

Calculating this becomes:

9 + 16 = 25

One thought on “Pythagoras’ Theorem

  1. Nice explanation of the Pythagorean Theorem. What did you learn from it? How did the Slope Wheel help you learn in math class? Keep working hard! 🙂

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