kelilachamblee kelilachamblee
  • 24-08-2020
  • Mathematics
contestada

What is the area of a square with the vertices (3, 3), (6, 6), (9,3), and (6,0)?

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unicorn3125
unicorn3125 unicorn3125
  • 26-08-2020

Answer:

           A = 18 square units

Step-by-step explanation:

taking A(3, 3), B(6, 6), C(9,3) and D(6,0)

we have:  [tex]y_A=y_C\quad and\quad x_B=x_D[/tex] so the AC and BD are diagonals, that means:

AB = BC = CD = DA = s

[tex]s=\sqrt{(6-3)^2+(6-3)^2}=\sqrt{3^2+3^2}=\sqrt{18}\\\\\\A=s^2=(\sqrt{18})^2=18[/tex]

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