4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA.

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4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

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Transcript of 4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA.

Page 1: 4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA.

4.4: THE PYTHAGOREAN

THEOREM AND

DISTANCE FORMULA

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Two sides that form the right angle are called the LEGS

The side opposite the right angle is called the HYPOTENUSE

RIGHT TRIANGLES

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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.

PYTHAGOREAN THEOREM

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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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Examples:3,4,58,15,175,12,13

PYTHAGOREAN TRIPLES

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EXAMPLE 3

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

DISTANCE FORMULA

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EXAMPLE 4

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YOU TRY IT…

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Text p. 196 #s 17-22 all

Text p. 197 #s 30-32 all

HOMEWORK

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Text p. 196 # 26

HAND IN BEFORE YOU LEAVE…


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