1brianna23 1brianna23
  • 10-10-2019
  • Mathematics
contestada

Given the points A ( 3 -8) and B(1, 2), what is the approximate length of AB?

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altavistard
altavistard altavistard
  • 10-10-2019

Answer:

Step-by-step explanation:

As we move from B(1, 2) to A(3, -8), the x coordinate increases by 2, and the y coordinate decreases by 10.  The hypotenuse represents the distance between these two points.  Using the Pythagorean Theorem, we get:

c^2 = a^2 + b^2, or c^2 = 2^2 + 10^2, or c^2 = 104.

The length of the hypotenuse = the distance between A and B, is √104, which is just a little over 10.

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