11-3: The Pythagorean Theorem Pg.546. Objective & Vocabulary 1.Find the length of a side of a right...
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11-3: The Pythagorean Theorem Pg.546
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Transcript of 11-3: The Pythagorean Theorem Pg.546. Objective & Vocabulary 1.Find the length of a side of a right...
![Page 1: 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,](https://reader038.fdocuments.in/reader038/viewer/2022110101/56649e6f5503460f94b6c5bc/html5/thumbnails/1.jpg)
11-3: The Pythagorean Theorem
Pg.546
![Page 2: 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,](https://reader038.fdocuments.in/reader038/viewer/2022110101/56649e6f5503460f94b6c5bc/html5/thumbnails/2.jpg)
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
![Page 3: 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,](https://reader038.fdocuments.in/reader038/viewer/2022110101/56649e6f5503460f94b6c5bc/html5/thumbnails/3.jpg)
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=?
![Page 4: 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,](https://reader038.fdocuments.in/reader038/viewer/2022110101/56649e6f5503460f94b6c5bc/html5/thumbnails/4.jpg)
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
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Homework Time—Yea!
Pg.548-549(1-22all)