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11-3: The Pythagorean Theorem

This guide explains the Pythagorean theorem, which states that in any right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. The hypotenuse is the side opposite the right angle, while the legs are the two sides that form the right angle. With examples on finding the length of the hypotenuse and the lengths of the legs, this resource will help reinforce your understanding of right triangles and their properties. Homework exercises included for practice!

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11-3: The Pythagorean Theorem

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  1. 11-3: The Pythagorean Theorem Pg.546

  2. Objective & Vocabulary • Find the length of a side of a right triangle. • Hypotenuse (pg.546): in a right triangle, the side opposite the right angle (the longest side) is the hypotenuse. • Leg (pg.546): the two sides in a right triangle that form the right angle. • Pythagorean theorem (pg.546): for any right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse [ ].

  3. Example 1: Finding the Length of a Hypotenuse B=20 • Find c. • If a=9 ft, b=12 ft, find c. A=15 C=?

  4. Example 2: Finding the Length of a Leg • Find b. • Find a if b=12ft and c=20ft. 5 ft. 3 ft. b

  5. Homework Time—Yea! Pg.548-549(1-22all)

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