Using the Pythagorean Theorem
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Objective
I can apply the Pythagorean theorem to solve real-world problems involving right triangles.
Part 1 of 4
Warm-up video
TED-Ed · 5:17Vetted channel
We don't generate video — this one is by TED-Ed on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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.
Part 3 of 4
Practice
10 questions
The Pythagorean theorem states that in a right triangle, a² + b² = c². What does 'c' represent?
A surveyor uses a rope with 12 equal segments to form a triangle with sides of 3, 4, and 5 units. According to the video, what is the purpose of this?
Part 4 of 4
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.”
Sample answer included in the free materials
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