Proof of the Pythagorean theorem
Answers are for parents and teachers.
1
The legs are 9 and 12. What is (a + b)²?
441
2
What is the total area of four triangles with legs 7 and 24?
336
3
The legs are 20 and 21. By the proof, what is c²?
841
4
The legs are 5 and 12. How long is the hypotenuse?
13
5
Describe the area proof of the Pythagorean theorem briefly in your own words.
Cut two squares of side a + b in two ways into triangles and squares; subtracting the four triangles leaves c² = a² + b².