To find the area of kite ABCD, we can use the formula for the area of a kite, which is given by:
Area = (d1 × d2) / 2
where d1 and d2 are the lengths of the diagonals. In this case, we know:
- Diagonal AC (d1) = 10
- Diagonal BD (d2) = 6
Now, substituting the values into the formula:
Area = (10 × 6) / 2
Area = 60 / 2
Area = 30
Thus, the area of kite ABCD is 30 square units. This formula works because the area of the kite is essentially half the product of its diagonals, which intersect at right angles. Hence, we have calculated the area correctly based on the provided diagonal lengths.