IM Geometry Unit 3 Lesson 14
What do you notice? What do you wonder?
Elena is playing with the equivalent ratios she wrote in the warm-up. She rewrites .
Diego notices and comments, “I got
.
The and remind me of the Pythagorean Theorem.” Elena says, “The Pythagorean Theorem says that
I bet we could figure out how to show that.”
How did Elena get from to ?
What equivalent ratios of side lengths did Diego use to get ?
When Pythagoras proved his theorem he used the 2 images shown here.
Can you figure out how he used these diagrams to prove in a right triangle with hypotenuse length c?
IM G Unit 3 Lesson 1 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/3/14/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.