Activity 4a – Congruent Triangles
This activity explores the issues involved with solving triangles using the Law of Sines and Law of Cosines. It is a geometric exploration and ideas learned here will help in the decision-making process for solving triangles. Some familiarity with geometric proofs that triangles are congruent may be helpful, but is not necessary.
Activity 4b – Area of a Triangle
This activity develops area formulas for triangles in the SAS case and the ASA/AAS case. It uses the Law of Sines and Law of Cosines from Topics 4.1, 4.2 and 4.3. There is also an area formula in the SSS case, but it is not presented in this activity.