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Distance Formula and Pythagorean Theorem Example: The distance between (3, 4) and (x, 7) is 5 units. Find x. Using the distance formula: (3 —x)2 + (4—7) x) 3 Solving Graphically (Pythagorean Theorem) Example: b b 3 -5 4 or -4 The length of segment AB is 20. If the coordinate of Ais (5, 1), and the coordinate of B is (-6, y), what is b?
A J LA6lKlT CrGi3gxhjtwsY urGeks YeYrrv 1erd L.8 w qM ca ld Te0 Pwpi StzhY TIjn NfCipnGiutbe P 6P5r6e 6-IA OlIg ReAbirBa0.8 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ The Distance Formula Date_____ Period____ Find the distance between each pair of points. 1) x y 9.433 2) x y 6
Find the distance between each pair of points. 1) ( 7, 3 ) , ( −1, −4 ) 2) ( 3, −5 ) , ( −3, 0 ) 3) ( 6, −7 ) , ( 3, −5 ) 4) ( 5, 1 ) , ( 5, −6 )
Note that given any two points with coordinates (x1, y1) and (x2, y2), the distance, d (also called Euclidean distance), between them is given by the formula below. formula to compute the distance between the following points: 1. (1,1) and (3,7)
Find the distance between each pair of points uing Pythagorean Theorem. (Sketch a graph and plot the points first). Also, determine the slope between the two points for review. 11) ( , ), ( , ) 12) ( , ), ( , ) 13) ( , ), ( , )
Distance Formula Practice Worksheet Name_____ Class Period_____ Use the distance formula to find the distance between each set of points. Write your answer in radical form and decimal form. Round to the nearest tenth for the decimal form. 1. (1, 4) and (-2, 3) 2. ( 6,1) and (3,1) 3.
