Triangle Side-Angle Relationship Investigation

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

Answer the following questions on your handout

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? d. What do you notice about the side that is across from the largest angle? 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? d. What do you notice about the side that is across from the smallest angle? 3. If you create the triangle such that AB < AC < BC. What are the names of the angles, in order from least to greatest?