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IM 8.8.6 Lesson: Finding Side Lengths of Triangles

Which triangle doesn’t belong?

Complete the tables for these three triangles:

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

Complete the tables for these three more triangles:

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

What do Triangle E and Triangle Q have in common?

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

If the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? Explain how you know.

For which triangles does ?