Discover the relationship between the sides and angles in one triangle:Use the arrow (move) tool to drag the vertices around the page.

1)
a. Make angle A the largest angle. What is the name of the segment that is the longest? _____
b. Make angle B the largest angle. What is the name of the segment that is the longest? _____
c. Make angle C the largest angle. What is the name of the segment that is the longest? _____
2)
a. Make angle A the smallest angle. What is the name of the segment that is the shortest? ___
b. Make angle B the smallest angle. What is the name of the segment that is the shortest? ___
c. Make angle C the smallest angle. What is the name of the segment that is the shortest? ___
3) If you create the triangle such that AB<AC<BC. What are the names of the angles in order from least to greatest?
_______________________________
4)
a. If AB=AC, what do you know about angle B and angle C? __________________________
b. What theorem justifies this?_________________________________
5) Create a scalene triangle. Can a scalene triangle have two of the same sized angles? Explain.
6) Explain why the hypotenuse must be the longest side of a right triangle.