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If △ABC is right angled at B,AB=12cm and ∠CAB=60∘, determine the length of BC.
Question

If △ABC is right angled at B,AB=12cm and ∠CAB=60, determine the length of BC.

A.

12√2 cm

B.

12

C.

12√3 cm

D.

24√3 cm

Correct option is C

Given: 
△ABC is right angle triangle,
AB = 12cm and ∠CAB = 60060^0 
Formula Used:  
For right angle triangle,
tanθ=PerpendicularBase\tan \theta = \frac{ \text{Perpendicular}}{\text{Base}} 
tan300=13\tan 30^0 = \frac{1}{\sqrt{3}} 
tan600=3\tan 60^0 =\sqrt{3} 
Solution: 
 

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