Using the Pythagorean Theorem
9th Grade · Math · 45 min
Lesson Preview
Learning Objective
I can apply the Pythagorean theorem to solve real-world problems involving right triangles.
- 1
The Pythagorean theorem, expressed as a² + b² = c², states that in a right triangle, the square of one side plus the square of the other side is equal to the square of the hypotenuse.
- 2
One proof of the Pythagorean Theorem, attributed to Pythagoras, uses rearrangement of four identical right triangles to show that the area c² is equal to the area a² + b².
- 3
Another proof of the Pythagorean Theorem, developed by Euclid and Einstein, divides one right triangle into two others and uses the principle that the ratio of their sides is the same.
