You will explore three types of triangles below. [br]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). [br]- How does changing the lengths change the angles between the segments?[br]- Is there any relationship between the angles? Between the angles and a given side? (Hint - look at the color coding)[br]- How would you describe these triangles in your own words?[br][br][br]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).[br]- How does changing the lengths change the angles between the segments?[br]- 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?)[br][br]3. Finally, uncheck Show / hide scalene triangle and select Show / hide equilateral triangle. Drag the points to adjust the sides and manipulate the triangles. [br]- How does changing the lengths change the angles between the segments?[br]∞ Is there any relationship between the angles? Between the angles and a given side?