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Find BC if B(8, -7) and C(1, -2).

User Maxmithun
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Final answer:

The distance between points B(8, -7) and C(1, -2) is the square root of 74, calculated using the distance formula derived from the Pythagorean theorem.

Step-by-step explanation:

To find the distance between two points B(8, -7) and C(1, -2), you can use the distance formula which is derived from the Pythagorean theorem. The distance formula is √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the distance BC, plug in the coordinates of B and C:

  • x1 = 8, y1 = -7
  • x2 = 1, y2 = -2

The calculation will be:

√((1 - 8)² + (-2 - (-7))²) = √((-7)² + (5)²) = √(49 + 25) = √74

The distance BC is √74, which is the exact length of the segment between the points B and C.

User Headbanger
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