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AP EAMCET202316 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In A B C, B=60^ and A=75^ . If a point D divides BC in the ratio 2: 3 , then BAD : CAD =

Options

  1. A2 ; 3
  2. B3 : 2
  3. C3 : 2
  4. D3: 2

Correct answer

A. 2 ; 3

Step-by-step solution

Given B=60^ , A=75^ Let B A D= and C A D= Using sine rule in A B D , A D 45^ = C D ...(ii) Also, given B D C D = 2 3 Now, Eqn. (i)/(ii), aligned & 45 60 = B D C D & 1 2 3 2 = 2 3 aligned aligned & 1 2 2 3 = 2 3 = 3 2 & C A D B A D = 3 2 B A D C A D = 2 3 . aligned

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