# 1.8 - Distance Formula The distance d between two points...

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Distance Formula 1 1 2 2 The distance d between two points A(x ,y ) and B(x ,y ) is:   2 1 2 2 1 2 y y ) x (x d
A B C Using the distance formula we will find the length of AC. 2 2 2 2 3 4 C 25 =C 5 = C  ABC is a right triangle. Use the Pythagorean Theorem to find the length of AC. THE DISTANCE FORMULA – HOW DOES IT WORK?

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A B C         22 3 0 0 4 34 9 16 25 5 d d d d d    AC 5 The distance formula will give us the same result using points (0,4) and (3,0).
        22 7 5 4 9 25 4 25 29 5.39 d d d d or    Find the distance between points (5,9) and (7,4). (you may choose either point to start with)

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Midpoint Formula 2 y y , 2 x x m 2 1 2 1 1 1 2 2 The midpoint of AB with endpoints A(x ,y )and B(x ,y ).
  3 7 5 2 m, 22 10 7 = , = 5, 3.5

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1.8 - Distance Formula The distance d between two points...

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