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The Right Distance! (Pyth Thm vs. Distance Formula)

The Right Distance! (Pyth Thm vs. Distance Formula). Unit 4.24. Find the Distance between the two points on the graph using the Pythagorean Theorem. Step 1) Draw a right triangle where the two points form the hypotenuse . Step 2) Count the length of the legs .

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The Right Distance! (Pyth Thm vs. Distance Formula)

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  1. The Right Distance!(Pyth Thm vs. Distance Formula) Unit 4.24

  2. Find the Distance between the two points on the graph using the Pythagorean Theorem. Step 1) Draw a right triangle where the two points form the hypotenuse. Step 2) Count the lengthof the legs. Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse. c 4 6 42 + 62 = c2

  3. Find the Distance between the two points on the graph using the Pythagorean Theorem. Step 1) Draw a right triangle where the two points form the hypotenuse. Step 2) Count the lengthof the legs. Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse. c 4 16 + 36 = c2 52 = c2 6 42 + 62 = c2

  4. 1) Find the Distance between the two points on the graph using the Pythagorean Theorem. 82 + 22 = c2 64 + 4 = c2 c 68 = c2 8 2

  5. 2) Find the Distance between the two points on the graph using the Pythagorean Theorem. 72 + 52 = c2 49 + 25 = c2 74 = c2 c 5 7

  6. 3) Find the Distance between the two points on the graph using the Pythagorean Theorem. 32 + 62 = c2 c 6 3 6.7

  7. 4) Find the Distance between the two points on the graph using the Pythagorean Theorem. 10.3

  8. 5) Find the Distance between the two points on the graph using the Pythagorean Theorem. 13.6

  9. In order to use, you must have … Pythagorean Thm.vs. The Distance Formula Right Triangle Two Coordinates Length of two sides of triangle Picture or Graph (optional) Picture or Graph (optional)

  10. Pythagorean Thm.vs. The Distance Formula √a2 + b2=c √(8 – 4)2 + (1 – 7)2=c Can’t go further! √42 + 62=c √42 + (-6)2=c √16 + 36 =c √16 + 36 =c (4,7) √52 =c √52 =c 6 (8,1) 4

  11. 6) Find the Distance between the two points using the Distance Formula. (-3,8) √(1 – -3)2 + (-5 – 8)2=c √42 + (-13)2=c 13 √16 + 169 =c √185 =c (1,-5) 4

  12. 7) Find the Distance between the two points using the Distance Formula. (4,5) (-6,0) 11.2

  13. 8) Find the Distance between the two points using the Distance Formula. (0,5) 11.4 (3,-6)

  14. 9) Find the Distance between the two points using the Distance Formula. (10,4) (-5,-2) 16.2

  15. Homework Time!  The Right Distance! WS

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