To find the area of a kite, we will use the kite below with a line of symmetry d1. Notice that when d1 is a line of symmetry, the kite is made of 2 triangles.


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Examples1 ) Find the area of a kite with diagonals that are 6 inches and 18 inches long.Area  = (6 × 18) / 2 = 108 / 2 = 54 square inches.2)When the diagonals of a kite meet, they make 4 segments with lengths 6 meters, 4 meters, 5 meters, and 4  meters. What is the area of the resulting kite.

The segments with lengths 4 meters and 4 meters must represent the segment that was bisected into 2 equal pieces or d2d2 = 4 + 4 = 8 metersThe segments with lengths 6 meters and 5 meters must represent d1 thend1 = 6 meters + 5 meters = 11

Area = (8 × 11) / 2 = 88 / 2 = 44 square meters


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