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Kite $ABCD$ (a quadrilateral with two pairs of adjacent equal sides) has coordinates $A\ (0,7),\ B\ (1,0),\ C\ (12,-2),$ and $D\ (7,8).$ What is the area of $ABCD,$ given that the area of a kite is equal to half the product of its diagonals?

 Mar 20, 2020
 #1
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To find the length of the diagonals, use the distance formula:     distance  =  sqrt[ (x2 - x1)2 + (y2 - y1)2 ]

 

From point (1,0) to (7,8):      distance  =  sqrt[ (7 - 1)2 + (8 - 0)2 ]

From point (0,7) to (12,-2);  distance  =  sqrt[ (12 - 0)2 + (-2 - 7)2 ]

 

Find the values of teh two distance and place these values into your formula.

 Mar 20, 2020

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