Participants who use this resource will apply the Pythagorean Theorem to show whether or not the shaded triangle inscribed in a rectangle is a right triangle. Once all of the sides on the shaded triangle are found, it is important that your class understands that the largest side may be the hypotenuse. From there, it is easy to apply the Pythagorean Theorem to solution II of the commentary.

Concepts

congruence, pythagorean theorem, right triangles, triangles

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Additional Tags

pythagorean theorem, congruence, right triangle, math

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Pros

• An example of how to apply the Pythagorean Theorem to determine unknown side lengths.

Cons

• None

Common Core

8.G.A.1.a 8.G.A.1.b 8.G.B.7