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Published byPiers Nelson Modified over 4 years ago

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**4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA**

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RIGHT TRIANGLES Two sides that form the right angle are called the LEGS The side opposite the right angle is called the HYPOTENUSE

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PYTHAGOREAN THEOREM In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

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EXAMPLE 1 Find the length of the missing side.

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EXAMPLE 2

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YOU TRY IT…

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PYTHAGOREAN TRIPLES Examples: 3,4,5 8,15,17 5,12,13

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EXAMPLE 3

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DISTANCE FORMULA The Pythagorean Theorem can be used to develop the distance formula, which gives the distance between any 2 points on the coordinate plane

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EXAMPLE 4

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YOU TRY IT…

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HOMEWORK Text p. 196 #s all Text p. 197 #s all

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**HAND IN BEFORE YOU LEAVE…**

Text p. 196 # 26

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