# The Distance Formula

The Distance Formula 3102.4.3 Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates; develop the distance formula for a coordinate plane using the Pythagorean Theorem. The Distance Formula The distance d between any two

points with the coordinates (x1,y1) and (x2,y2) is given by 2 d ( x2 x1 ) ( y2 y1 ) A (x1,y1) B (x2,y2) 2

Distance Between Two Points Find the distance between the points at (2,3) and (-4,6) 2 d ( x2 x1 ) ( y2 y1 ) 2 ( 4 2) (6 3)

Try this one! Find the distance between (1,2) and (-3,0) Answer is 4.47 Find the distance using the Pythagorean Theorem! a2+b2=c2 (5)2+(7)2=c2

25 + 49 =c2 74 =c2 5 7 Now try these (12,3) and (-8,3) (6,8) and (3,4)

(0,0) and (5,12) (-4,2) and (4,17) Try this one using the Pythagorean Theorem!

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