Exercise 6.1.2 solution

  1. The sum of two sides of a triangle must be larger than the third. But \(b + c = 6\) and \(a = 7\). So there is no solution.
  2. The sum of two angles of a triangle must be smaller than \(180^\circ\). But \(A + B = 183^\circ\), so there is no solution.
  3. The sum of \(B\) and \(C\) is greater than \(180^\circ\) so there is no solution.
  4. The sum of the three angles is greater than \(180^\circ\), so there is no solution.