Answer:
AB = 15; CD = 20
Step-by-step explanation:
The question is attached.
A kite is a quadrilateral (four sides) with two pairs of equal sides which are adjacent to each other. A kite has two diagonals and the longer diagonal bisects the shorter diagonal.
We can use Pythagoras theorem to find the length of the kite sides:
AB² = 12² + 9²
AB² = 225
Taking square root of both sides:
AB = 15
AB = BC = 15 (adjacent sides of a kite are equal)
CD² = 12² + 16²
CD² = 400
Taking square root of both sides:
CD = 20
CD = AD = 20 (adjacent sides of a kite are equal)