TRIANGLE CONSTRUCTION CHALLENGES

Instructions
[color=#000000][b]Introduction[br][/b]What makes a triangle a triangle?  [br]Are there any fundamental facts or rules that apply to all triangles?[br][br][b]Step 1[br][/b]Use the SEGMENT WITH FIXED LENGTH tool to construct segments that can be rearranged to form triangles with the sets of sides from Table 1 (below)?[br]Are there any of these triangles that cannot be constructed (yes or no)?  [br]If so, which?[br]Why can’t they be constructed?[br][br][b]Step 2[br][/b]Erase all of your line segments from Step 1. [br]Use the POLYGON tool and the ANGLE tool to construct and label triangles with the angles given in Table 2 (below).[br]Are there any of these triangles that cannot be constructed (yes or no)?  [br]If so, which?[br]Why can’t they be constructed?  Hint: find the sum of the angles in each triangle.  What do you notice?[br][br][b]Conclusion[br][/b]Describe two fundamental facts about triangles that you have discovered in this activity:[br]Fact 1:[br]Fact 2:[/color]

Information: TRIANGLE CONSTRUCTION CHALLENGES