# 11-3: The Pythagorean Theorem - PowerPoint PPT Presentation

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

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11-3: The Pythagorean Theorem

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## 11-3: The Pythagorean Theorem

Pg.546

### 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 [ ].

### Example 1: Finding the Length of a Hypotenuse

B=20

• Find c.

• If a=9 ft, b=12 ft, find c.

A=15

C=?

### Example 2: Finding the Length of a Leg

• Find b.

• Find a if b=12ft and c=20ft.

5 ft.

3 ft.

b

### Homework Time—Yea!

Pg.548-549(1-22all)