Copy of Triangle Side Angle Relationships Discovery
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) Create a triangle such that AB is the smallest side, AC is the medium side and BC is the longest side. List the angles in order from least to greatest. _______________________________
4)
a. Make AB=AC. What do you notice about angle B and angle C? __________________________
5) Create a scalene triangle. Can a scalene triangle have two congruent angles? Explain.
6) Explain why the hypotenuse must be the longest side of a right triangle.