Question

ABCD is a kite, find the length of BD.

Answer 1

For BE

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
BE= 12

and

for ED
5^2 + b^2 = sqrt 41 ^2
25 + b^2 = 41
b^2 = 16
ED = 4

BD = BE + ED
BD = 12 + 4
BD = 16

Answer 2

BD=
$\sqrt{41 - 25} + \sqrt{169 - 25}$