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AP EAMCET202316 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In ABC , if A 2 + C 2 = b s , then ( A + C 3 )=

Options

  1. A1
  2. B3 2
  3. C1 2
  4. D1 2

Correct answer

D. 1 2

Step-by-step solution

A 2 + C 2 = b s A 2 C 2 + A 2 C 2 A 2 C 2 = b s aligned & ( A+C 2 ) s(s-a) b c s(s-c) a b = b s & b ( A+C 2 ) s (s-a)(s-c) a c = b s & A+C 2 B 2 =1 A+C 2 A+C 2 =1 [ A+B+C= ] & A+C 2 =1 A+C= 2 aligned Now, ( A+C 3 )= ( 6 )= 1 2 .

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