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Finding Distance by using the Pythagorean Theorem

Finding Distance by using the Pythagorean Theorem. What is the Pythagorean Theorem?. What is the distance between (-2, 1) and (1, 5)?. Draw a line connecting the points. Draw in lines that would make a right angled triangle, using these two points as corners.

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Finding Distance by using the Pythagorean Theorem

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  1. Finding Distance by using the Pythagorean Theorem

  2. What is the Pythagorean Theorem?

  3. What is the distance between (-2, 1) and (1, 5)? • Draw a line connecting the points. • Draw in lines that would make a right angled triangle, using these two points as corners.

  4. What is the distance between (-2, 1) and (1, 5)? • Find the length of the horizontal side. (subtract the x’s = 1 – -2) • 3 • Find the length of the vertical side. (subtract the y’s = 5-1) • 4 4 3

  5. What is the distance between (-2, 1) and (1, 5)? • Use the Pythagorean Theorem to find the missing side. • a2 + b2 = c2 • 32 + 42 = c2 • 9 + 16 = c2 • 25 = c2 c 4 3

  6. What is the distance between (-6, 6) and (1, -4)? • Draw in the line to connect the dots. Draw in the horizontal and vertical lines. • Find the lengths of the horizontal and vertical lines. • Horizontal 1 - -6Vertical -4 - 6 10 c 7

  7. What is the distance between (-6, 6) and (1, -4)? • Use the Pythagorean Theorem to find the missing side. • a2 + b2 = c2 • 102 + 72 = c2 • 100 + 49 = c2 • 149 = c2 10 c 7

  8. Shortcut  • The Distance Formula is used to find the “distance” between two points. • Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:

  9. Find the distance between (-2, -3) and (-4, 4). • Use the distance formula: • Substitute the points into the formula: • Use order of operations to simplify.

  10. Find the distance between (-2, -3) and (-4, 4). Continue to simplify. The distance between (-2,-3) and (-4,4) is

  11. Find the distance between (2, -3) and (-1, -2).

  12. Your Assignment! Distance Formula worksheet

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