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Kite  (a quadrilateral with two pairs of adjacent equal sides) has coordinates  and  What is the area of  given that the area of a kite is equal to half the product of its diagonals?

 

https://latex.artofproblemsolving.com/1/7/c/17ca2cc2c0ee36081e414b0712467d1f8f8add62.png

 Apr 12, 2020
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You can use the distance formula to find the lengths of the diagonals:

    Distance  =  sqrt[ (x2 - x1)2 + (y2 - y1)2 ]

 

To find the distance AC:  Distance  =  sqrt[ (12 - 0)2+ (-2 - 12)2 ]

 

To find the distance BD:  Distance  =  sqrt[ (7 - 1)2 + (8 - 0)2 ]

 

Then use the area of a kite (that you gave with your question).

 

Can you take it from here?

 Apr 12, 2020

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