Construction 09: Triangle Inequalities
9.1 Triangle Inequality: Possible Triangles:
Which of the following could be the lengths of the sides of a triangle?
Explore the following geogebra applet:
9.2 Inequalities in One Triangle
Inequalities in One Triangles
As you increase the base, using the slider, how does the angle opposite increase or decrease? Write a general rule for the relationship relative size between opposite angles and sides.
9.3 The Hinge Theorem
Explain why this construction guarantees that segments and are congruent and that and are congruent.