Triangle Side-Angle Relationship Investigation
Discover the relationship between the sides and angles in one triangle. Click and drag the vertices (blue points) 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 length of the side that is across from the largest angle when you compare it to the other side lengths? (Is it the smallest, largest or in the middle?)
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 length of the side that is across from the smallest angle when you compare it to the other side lengths? (Is it the smallest, largest or in the middle?)
3. If you create the triangle such that AB is the smallest side, AC is the medium side and BC is the largest side, what are the names of the angles, in order from least to greatest?