MCQ
In a $\triangle\text{ABC}$ which of the given condition holds?
  • A
    $AB - BC > CA$
  • B
    $AB + BC < CA$
  • $AB - BC < CA$
  • D
    $AB + CA < BC$

Answer

Correct option: C.
$AB - BC < CA$

Theorem: In any triangle, sum of any two sides is greater than the third side. Also, the difference of any two sides must be smaller than the third side.
Therefore, in an $\triangle\text{ABC} AB - BC < CA$ and $AB + BC > CA.$

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