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?
+23246 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.
