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Manipal MET2010MathematicsProperties of Triangles

A and B are two points on one bank of a straight river and C, D are two other points on the other bank of river, if direction from A to B is same as that from C to D and A B=a, C A D= , D A B= , C B A= , then C D is equal to

Options

  1. Aa ( + + )
  2. Ba ( + + )
  3. Ca ( + + )
  4. DNone of the above

Correct answer

B. a ( + + )

Step-by-step solution

Clearly, C D A= , D C B= , A C B₀= -( + + ) Using since rule in C A B , we get A B ( -( + + )) = C A C A= a ( + + ) Now, using sine rule in C A D , we get C A = C D C D= C A = a ( + + )

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