The diagonal AC of the kite to the nearest tenth of centimetres is 9.9 cm.
How to find the diagonal of a kite?
ABCD is a kite . Therefore, AC is perpendicular to DB. DE is also congruent to side EB.
Therefore, let's use the information to find the length AC as follows:
Hence,
DE = EB = 4 cm.
Therefore, using Pythagoras's theorem,
EC² = 5² - 4²
EC = √25 - 16
EC = √9
EC = 3 cm
Let's find AE
AE² = 8² - 4²
AE² = 64 - 16
AE = √48
AE = 6.92820323028
AE = 6.93 cm
Finally,
AC = EC + AEC
AC = 6.93 + 3
AC = 9.9 cm