Using the Pythagorean Theorem
Grade 9th Grade · Math · 45 min
What's Included
Learning Objective
I can apply the Pythagorean theorem to solve real-world problems involving right triangles.
Warm-Up Video
TED-Ed · 5:17
How many ways are there to prove the Pythagorean theorem? - Betty Fei
Guided Notes
3 key concepts
- 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.
Practice Questions
10 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“A baseball diamond is a square with sides of 90 feet. What is the distance from home plate to second base? Show your work and round your answer to the nearest tenth of a foot.”
Complete Lesson Package
Get all 3 ready-to-use resources:
