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Question

The construction of a ΔABC, given that BC = 5.5 cm, C=60 is not possible when sum of the measures of AB and AC is equal to ___.
  1. 5.9 cm
  2. 6 cm
  3. 4.5 cm
  4. 5.7 cm


Solution

The correct option is C 4.5 cm
For any triangle to exist there is a condition that the sum of any two sides should be greater than the third side.
The required condition for construction is
AB + AC > BC
Since, 4.5 cm 5.5 cm, it is not possible to construct a triangle.

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