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?
A. 6(√2 + √3) cm
B. 2(√3 + √6) cm
C. 2(√2 + √3) cm
D. 3(√2 + √6) cm
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & \sqrt 2 \mu \to 6 \cr & \sqrt 1 \mu \to 3\sqrt 2 \cr & {\text{AC}} = \left( {1 + \sqrt 3 } \right)\mu \cr & \to 3\sqrt 2 \left( {1 + \sqrt 3 } \right) \cr & \to 3\left( {\sqrt 2 + \sqrt 6 } \right) \cr} $$
This Question Belongs to Arithmetic Ability >> Mensuration 2D
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