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BITSAT2024MathematicsTrigonometric Ratios & IdentitiesActual

Let A, B and C are the angles of a triangle and A 2 = 1 3 , B 2 = 2 3 . Then, C 2 is equal to

Options

  1. A7 9
  2. B2 9
  3. C1 3
  4. D2 3

Correct answer

A. 7 9

Step-by-step solution

( aligned & A + B + C =180^ (Angle sum property of a triangle) & A + B =180^ - C & A+B 2 =90^ - C 2 & ( A 2 + B 2 )= (90^ - C 2 ) & A / 2+ B / 2 1- A / 2 B / 2 = C / 2 & 1 3 + 2 3 1- 1 3 2 3 = C / 2 1 1- 2 9 = C / 2 & 9 7 = C / 2 C / 2=7 / 9 aligned )

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