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KCET2013MathematicsProperties of Triangles

In a A B C , if A a = B b = C c and a=2 , then its area is

Options

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

Correct answer

B. 3

Step-by-step solution

Given, in A B C , A a = B b = C c ...(i) From sine rule, A a = B b = C c ...(ii) On dividing Eq. (ii) by Eq. (i), we get A= B= C A=B=C So, A B C is an equilateral triangle ( array rrr in A B C, & & A+B+C=180^ & & A+A+A=180^ & & A=60^ =B=C array ) Area of equilateral A B C aligned &= 3 4 a²= 3 4 (2)² ( a=2, given ) &= 3 4 4= 3 aligned

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