ABCD is kite where ∠A is 90° and ∠C is 60°. If length of AB is 6 cm, what is the length of diagonal AC?

Answer: Option D

Solution

Answer: Option D

Solution:

$$\begin{array}{rl}& \sqrt{2}\mu \to 6\\ & \sqrt{1}\mu \to 3\sqrt{2}\\ & \text{AC}=\left(1+\sqrt{3}\right)\mu \\ & \to 3\sqrt{2}\left(1+\sqrt{3}\right)\\ & \to 3\left(\sqrt{2}+\sqrt{6}\right)\end{array}$$