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Q.

In a right ΔABC  , hypotenuse AC = 10 cm and A= 60 °  .Then find the length of BC


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a

5 10 cm  

b

2 3 cm  

c

5 2 cm  

d

5 3 cm    

answer is D.

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Detailed Solution

Given that in the right ΔABC  , hypotenuse AC = 10 cm and A= 60 °  .
As hypotenuse is given, thus sine or cosine trigonometric ratio can be applied.
Question ImageSine is a ratio of the side opposite to angle by hypotenuse that is
sinA= BC AC   As A= 60 °  ,
sin 60 ° = BC 10  
Putting value of sin 60 ° = 3 2  ,
3 2 = BC 10    BC=5 3 cm  
So, the length of BC is 5 3 cm  .
Hence, option 4 is correct.
 
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