for kite ABCD, if RA=15, and BD= 16, find AD

How did you get 17?

Since BD=16, RD=8

AD^2 = 8^2 + 15^2
AD = 17

AR^2+RE^2=AD^2

15^2+8^2=AD^2
225+64=AD^2
289=AD^2
√289=AD
17=AD

To find the length of AD in kite ABCD, we can use the properties of a kite. In a kite, the diagonals are perpendicular and one of the diagonals bisects the other diagonals.

In this case, we are given the length of one diagonal, BD, which is 16 units. We can assume that the diagonal BD is bisected by the other diagonal, AC, into two equal segments.

Therefore, we can find the length of AD by using the Pythagorean theorem on the right triangle formed by AD, BD, and the remaining segment of the diagonal AC:

AD^2 = AB^2 + BD^2

To calculate AD, we need to find the length of AB. Since we are not given other information about the kite, we cannot determine this length directly.

If you have additional information, such as the measure of an angle or the length of another side, please provide that information, and we can use it to find the length of AD.