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Question

In ABC , ¯¯¯¯¯¯¯¯AB =8.5 cm and ¯¯¯¯¯¯¯¯BC = 9 cm. Which of the following is/are the correct information needed to construct the triangle?
  1. A = 95°
  2. B = 36°
  3. C = 49°
  4. ¯¯¯¯¯¯¯¯AC =5 cm


Solution

The correct options are
B B = 36°
D ¯¯¯¯¯¯¯¯AC =5 cm
1) Using SAS criteria, we can create ABC as two sides ¯¯¯¯¯¯¯¯AB, ¯¯¯¯¯¯¯¯BC and included angle B are given.
2) Using SSS criteria, we can create ABC as three sides ¯¯¯¯¯¯¯¯AB, ¯¯¯¯¯¯¯¯BC and ¯¯¯¯¯¯¯¯AC are given.

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