Trigonometric Equations Question 283

Question: In a $ \Delta ABC, $ if $ b=20,c=21 $ and $ \sin A=3/5 $ , then $ a= $

[EAMCET 2003]

Options:

A) 12

B) 13

C) 14

D) 15

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ a^{2}=b^{2}+c^{2}-2bc\cos A $ Þ $ a^{2} $ $ ={{(20)}^{2}}+{{(21)}^{2}}-2.20.21.\frac{4}{5}=169 $
    Þ $ a=13. $