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MHT CET2019Morning ShiftMathematicsProperties of TrianglesActual

In Δ A B C with the usual notations, if t a n A 2 t a n B 2 = 3 4 then a + b = …

Options

  1. A4c
  2. B2c
  3. C7c
  4. D3c

Correct answer

C. 7c

Step-by-step solution

We have, In Δ A B C t a n A 2 t a n B 2 = 3 4 ⇒ s - b s - c s s - a s - a s - c s s - b = 3 4 ⇒ s - b s - c s - a s - c s s - a . s s - b = 3 4 ⇒ s - c s = 3 4 ⇒ a + b + c 2 - c a + b + c 2 = 3 4 ⇒ a + b - c a + b + c = 3 4 ⇒ 4 a + 4 b - 4 c = 3 a + 3 b + 3 c ⇒ a + b = 7 c

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