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Distance Between Two Points

Subtract the coordinates for the two legs, then use a² + b² = c².

ExampleFind the distance between (−1, 2) and (2, 6).xy(−1, 2)(2, 6)
Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
legs 3 and 4: d² = 3² + 4² = 9 + 16 = 25
d = √25 = 5
  1. 1.Find the distance between (2, 0) and (5, 4).xy(2, 0)(5, 4)
    Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
    d =
  2. 2.Find the distance between (−1, 0) and (3, 3).xy(−1, 0)(3, 3)
    Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
    d =
  3. 3.Find the distance between (−5, 1) and (0, 5).xy(−5, 1)(0, 5)
    Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
    d =
  4. 4.Find the distance between (1, −4) and (7, 3).xy(1, −4)(7, 3)
    Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
    d =
  5. 5.Find the distance between (−1, −4) and (3, −2).xy(−1, −4)(3, −2)
    Use the dashed legs to make a right triangle, then apply the Pythagorean theorem.
    d =