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

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