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The Distance Formula

The Distance Formula. Algebra 1 CP. Warm up. Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6. Homework Solutions. P. 416-417 #1-13 odd, 21-24 10 3. 2.2 5. 7.1 5.7 9. 20 11. 66.1 a) 6 2 +8 2 =100 b) 5; 12; 7; 41

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The Distance Formula

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  1. The Distance Formula Algebra 1 CP

  2. Warm up • Can the set of numbers represent the lengths of the sides of a right triangle? • 4, 5, 6

  3. Homework Solutions • P. 416-417 #1-13 odd, 21-24 • 10 3. 2.2 5. 7.1 • 5.7 9. 20 11. 66.1 • a) 62+82=100 b) 5; 12; 7; 41 • 21. Yes 22. No 23. No 24. Yes

  4. With a partner • Graph the points A(-3, 4), B(1, 1), C(- 3, 1). Then connect the points with a ruler. • Find the lengths of AC and BC. • Triangle ABC is a right triangle. Use the Pythagorean theorem to write an equation relating AC, BC, and AB. • Substitue values for AC and BC in the equation you write in Question 3. Solve the equation to find AB.

  5. The Distance formula • The distance d between any two points (x1, y1) and (x2, y2) is

  6. Example • Find the distance between ( - 4, 5 ) and ( 4 , - 2 )

  7. The midpoint formula • The midpoint M of a line segment with endpoints A(x1, y1) and B(x2, y2) is

  8. Example • Find the midpoint of the segment from A(-1, 6) to B(5, 0)

  9. Homework • P. 423 #4-9, 17-20 • P. 434 #62-65

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