Back to Explain a proof of the Pythagorean Theorem and its converse — Problem 3 · Task Set 26

Exercises: Proving the Pythagorean Theorem and Its Converse

Work through each section in order. The theorem $a^2 + b^2 = c^2$ relates the legs $a$ and $b$ to the hypotenuse $c$ of a right triangle. Show your reasoning where indicated.

Grade 8·22 problems·~35 min·Common Core Math - Grade 8·container·8-g-b-6

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Fluency Practice

Apply the theorem and its converse directly. Show your work.

To test whether a triangle with sides 9, 12, and 15 is a right triangle, which equation should you check?

$9^2 + 12^2 = 15^2$

$9^2 + 15^2 = 12^2$

$12^2 + 15^2 = 9^2$