Explain the Pythagorean theorem
I would love to help you master this beautiful mathematical tool! It is one of the most famous and useful ideas in geometry.
To make sure we tailor this session perfectly to your needs, could you let me know how much you already know about the or triangles in general?
I have seen the formula before but need a refresher
It is great to have you back! Since you have already seen the formula, we can make this refresher quick and highly visual so it really sticks. Let's start at the very beginning of the geometry: the shape itself.
The Right-Angled Triangle
The only works on one specific type of shape: a right-angled triangle (or simply, a right triangle). This is a triangle where one of the three internal angles is exactly , forming a perfect square corner.
No matter how wild or stretched out the other two angles are, that single angle is the golden rule. If a triangle doesn't have a right angle, this theorem cannot be used.
A right-angled triangle with a horizontal base and vertical side showing the 90-degree corner mark.
I have set up a placeholder above where we will generate a neat diagram of this triangle! As you can see, the sides of a right triangle are split into two categories: the two shorter sides that meet at the right angle (the legs), and the long diagonal side opposite the right angle (the hypotenuse).