8.1.3 Solving a Triangle (SAS): Another Example

Question 1

notes

Answer 1

• If the side opposite the given angle is shorter than the adjacent side, there may be two triangles. If so, solve for both sets
  of possibilities. The possibilities are:
  • The opposite side is shorter than the altitude. If so, no triangle exists.
  • The opposite side is longer than the altitude and shorter than the adjacent side. If so, two triangles may be possible.
  • The opposite side is longer than the adjacent side. If so, one triangle is possible.