What is the Pythagorean Theorem?
The Pythagorean Theorem describes the relationship between the three sides of a right-angled triangle.
What is the Pythagorean Theorem used for?
It’s used to find the length of an unknown side of a right-angled triangle when the lengths of the other two sides are known.
When can the Pythagorean Theorem be used?
It can only be used on right-angled triangles (triangles with one $90^\circ$
Can the Pythagorean Theorem be used on any triangle?
No, it only works for right-angled triangles.
How is the Pythagorean Theorem related to the distance formula?
The distance formula on a coordinate plane is derived from the Pythagorean Theorem.
Who invented/discovered the Pythagorean Theorem?
The theorem is named after the ancient Greek mathematician Pythagoras, though the relationship was known in other ancient cultures before his time.
Where did the Pythagorean Theorem come from?
It originated in ancient times; Pythagoras is credited with the first known proof.
Why is the Pythagorean Theorem important?
It’s fundamental in geometry and trigonometry, and it has many practical real-life applications in fields like construction, navigation, and surveying.
How many Pythagorean Theorem proofs are there?
There are hundreds of different documented proofs of the theorem.
What is the Converse of the Pythagorean Theorem?
The Converse states that if a triangle’s side lengths satisfy the theorem’s relationship, then the triangle must be a right-angled triangle.