Triangle Segment Exploration


The purpose of this exploration is to create different types of triangles. You may change the position of points A, B, C and D by dragging. You may change the length of segments a and b by using the sliders. Create each of the following triangles. If it is not possible to create the triangle, state why. Three different scalene triangles. An equilateral triangle. A scalene right triangle. An isosceles right triangle. An equilateral right triangle. Are there any necessary conditions when creating a triangle? Explain your answer.