Respuesta :

mhanifa

Answer:

  • AC is 45 units

Step-by-step explanation:

Given kite BCDE and

  • CD = 53 units
  • AD = 28 units
  • AC = ?

We know diagonals of kite are perpendicular to each other, hence ADC is a right triangle.

Using Pythagorean, find the missing side AC:

  • [tex]AC^2 +AD^2=CD^2[/tex]
  • [tex]AC^2=CD^2-AD^2[/tex]
  • [tex]AC=\sqrt{CD^2-AD^2}[/tex]
  • [tex]AC=\sqrt{53^2-28^2} =\sqrt{2025} =45[/tex]

So AC is 45 units long

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