Camobarbie9499 Camobarbie9499
  • 04-06-2018
  • Mathematics
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Find a point d(x, y) such that the points a(−4, 1), b(3, 0), c(−1, −3), and d are the corners of a square.

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  • 04-06-2018
- draw the points
- you will see thet AC has the same M as BD
- also AC = BD distance because it is a square
- calculate the M of AC
[tex] \frac{1 - ( - 3)}{ - 4 - ( - 1)} = \frac{4}{ - 3} = - \frac{4}{3} = m[/tex]
- calculate AC distance
[tex] \sqrt{ {(1 - ( - 3))}^{2} + {( - 4 - ( - 1))}^{2} } = \\ \sqrt{ {4}^{2} + {( - 3)}^{2} } = \\ \sqrt{25} = 5 = ac[/tex]
- lets say d is (x,y)
- now just make to equations with BD distance and M


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