11-3: the pythagorean theorem pg.546. objective & vocabulary 1.find the length of a side of a...
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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)
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