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## Lesson 11-3 Pages 479-482

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**Lesson 11-3Pages 479-482**The Pythagorean Theorem**What you will learn!**How to find length using the Pythagorean Theorem.**What you really need to know!**The sides of a right triangle have special names. The sides adjacent to the right angle are the legs. The side opposite the right angle is the hypotenuse.**The Pythagorean Theorem describes the relationship between**the length of the hypotenuse and the lengths of the legs. In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.**The Pythagorean Theorem**c a b c2 = a2 + b2**Example 1:**A gymnastics tumbling floor is in the shape of a square with sides 12 meters long. If a gymnast flips from one corner to the opposite corner, about how far has he flipped?**c2 = a2 + b2**c2 = 122 + 122 c2 = 144+ 144 c2 = 288 c≈ 17m**Example 2:**Find the missing measure of the triangle. 15 cm a 9 cm**152 = a2 + 92**225= a2 + 81 144= a2 12= a a=12 cm**Example 3:**Televisions are measured by their diagonal measure. If the diagonal of a television is 36 inches, and its height is 21.6 inches, what is its width?**c2 = a2 + b2**362 = 21.62 + b2**362 = 21.62 + b2**1,296 = 466.56 + b2 829.44 = b2 28.8 = b 28.8 inches**Example 4:**Determine whether the triangle is a right triangle. 2.5 cm, 6 cm, 6.5 cm**c2 = a2 + b2**6.52 = 62 + 2.52 42.25 = 36 + 6.25 42.25 = 42.25 YES! Right Triangle.**Example 5:**Determine whether the triangle is a right triangle. 5 ft, 6 ft, 8 ft**c2 = a2 + b2**82 = 62 + 52 64 = 36 + 25 64 ≠ 61 No! Not Right Triangle.**Page 481**Guided Practice #’s 4-8**Read:**Pages 479-481 with someone at home and study examples!**Homework: Page 482**#’s 9-21 all #’s 24-34 all Lesson Check 11-3**Page**590 Lesson 11-3