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KCET2009MathematicsProperties of Triangles

If one side of a triangle is double the other and the angles opposite to these sides differ by 60^ , then the triangle is

Options

  1. Aobtuse angled
  2. Bacute angled
  3. Cisosceles
  4. Dright angled

Correct answer

D. right angled

Step-by-step solution

Given, A-B=60^ By sine rule, 2 a A = a B A-2 B=0 (60^ + B )-2 B =0 array lc & 3 2 B + 1 2 B -2 B =0 & 3 2 B - 3 2 B =0 & 3 ( 1 2 B - 3 2 B )=0 & 3 [ (60^ + B ) ]=0 & 60^ + B =90^ & B =30^ & A =90^ array Hence, it is right angled triangle.

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