Joshuam228
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Geometry
  The diagonals of a  kite are in the ratio of 3:2. The area of the kite is 27 cm^2 .  Find the length of both diagonals. (Hint: Let the lengths of the diagonals be 3x and 2x)

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Sagot :

Lilith
[tex]A=27 \ cm^2 \\ \\ d_{1}=3x , \ \ d_{2} = 2x \\ \\ S=\frac{1}{2}\cdot d_{1}\cdot d_{2}\\ \\27 = \frac{1}{2}\cdot 3x \cdot 2x \\ \\ 3x^2 = 27 \ \ /:3[/tex]

[tex] x^2 = 9 \\ \\3x=x=\sqrt{9}\\ \\x=3 \ cm \\ \\ d_{1}=3x = 3*3 =9 \ cm \\ \\d_{2}=2x=2*3 = 6 \ cm \\ \\ Answer : \\ The \ length \ of \ the \ diagonal \ is: \ d_{1}= 9 \ cm \ and \ d_{2}= 6 \ cm [/tex]

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