Triangle Segment Exploration
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.