You will explore three types of triangles below.
1. Start by selecting Show / hide scalene triangle. Slide a and b to adjust the side lengths of side_a and side_b. You may also drag the points to adjust the sides (including c, the side indicated by the value).
- How does changing the lengths change the angles between the segments?
- Is there any relationship between the angles? Between the angles and a given side? (Hint - look at the color coding)
- How would you describe these triangles in your own words?
2. Now, uncheck Show / hide scalene triangle and select Show / hide isosceles triangle. Slide f to adjust the lengths of sides f1 and f2. You may also drag the points to adjust the sides (including the base).
- How does changing the lengths change the angles between the segments?
- Is there any relationship between the angles? Between the angles and a given side? (Hint - again, look for the matching colors and angles. What happens to the angle at the tip of the triangle as the base gets larger? As it gets smaller?)
3. Finally, uncheck Show / hide scalene triangle and select Show / hide equilateral triangle. Drag the points to adjust the sides and manipulate the triangles.
- How does changing the lengths change the angles between the segments?
∞ Is there any relationship between the angles? Between the angles and a given side?