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MHT CET2019Morning ShiftMathematicsProperties of TrianglesActual

In Δ A B C , with the usual notations, if s i n B s i n C = b c a 2 , then the triangle is ….

Options

  1. ARight angled triangle
  2. BObtuse angled triangle
  3. CEquilateral triangle
  4. DAcute angled triangle

Correct answer

A. Right angled triangle

Step-by-step solution

Key Idea Use sine rule, i.e. a s i n A = b s i n B = c s i n C Given, s i n B s i n C = b c a 2 ⇒ a 2 = b c s i n B s i n C ⇒ a 2 = b s i n B c s i n C ⇒ a 2 = a s i n A 2 ⇒ s i n 2 A = 1 ⇒ s i n A = 1 = s i n 90 o ⇒ A = 90 o

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