Step One
Find CE
There are 4 right angles at E. Use one to get the right angle containing CE as one of the sides.
a^2 + b^2 = c^2
a = 7
b = ?
c = sqrt(130)
7^2 + b^2 = (sqrt(130)^2
49 + b^2 = 130
b^2 = 130 - 49
b^2 = 81
b = sqrt(81)
b = 9
CE = 9
Step 2
Find AC
AE = 24
CE = 9
AC = AE + CE
AC = 24 + 9
AC = 33 <<<<< answer
Step 3
Find DE
The smaller of two diagonals in a kite is cut in half. So DE = BE.
Since BE is labeled as 7,
DE = 7 <<<< Answer
Step Four
Find DA
DE = 7
AE = 24
DA = ?
a^2 + b^2 = c^2
a= 7
b = 24
c = ??
7^2 + 24^2 = c^2
49 + 576 = c^2
625 = c^2
c = 25
AD = 25 <<<< Answer