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Unit 8 - Lesson 6 - Grade 8: Illustrative Mathematics

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11 Questions
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Grade 8 Unit 8
Lesson 6: Finding Side Lengths of Triangles
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 8
Lesson 6: Finding Side Lengths of Triangles
CC BY 2021 Illustrative Mathematics®
Lesson: Finding Side Lengths of Triangles

Which One Doesn’t Belong: Triangles (Warm Up)

1.

Which triangle doesn’t belong?

A Table of Triangles

2.

Complete the tables for these three triangles:

3.

What do you notice about the values in the table for Triangle E but not for Triangles D and F?

4.

Complete the tables for these three more triangles:

5.

What do you notice about the values in the table for Triangle Q but not for Triangles P and R?

6.

What do Triangle E and Triangle Q have in common?

Meet the Pythagorean Theorem

Find the missing side lengths. Be prepared to explain your reasoning.
7.

Find the missing side lengths. Be prepared to explain your reasoning.


8.

Find the missing side lengths. Be prepared to explain your reasoning.


9.

Find the missing side lengths. Be prepared to explain your reasoning.


10.

For which triangles does a2 + b2 = c2?

Cool Down: Does a Squared Plus b Squared Equal c Squared?

Does a Squared Plus b Squared Equal c Squared?

11.

For each of the following triangles, determine if a2 + b2 = c2 where a, b, and c are side lengths of the triangle. Explain how you know.