11-3: The Pythagorean Theorem

Pg.546

Objective & Vocabulary

1. 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 [ ].2 2 2a b c

Example 1: Finding the Length of a Hypotenuse

A. Find c.

B. If a=9 ft, b=12 ft, find c.

A=15

B=20

C=?

Example 2: Finding the Length of a Leg

A. Find b.

B. Find a if b=12ft and c=20ft.

3 ft.5 ft.

b

Homework Time—Yea!

Pg.548-549(1-22all)