How to form various types of triangle with perimeter 360m?

Answer 1

One possible solution which will require a really long rope and two people.Tie one end of the rope to a post. Make a loop of 360 m and tie the other end to the same post. Then one person should hold the rope and stand a short distance, x m, from the post. The other person should hold the rope so that its tight and walk in an arc on one side of the line formed by the post and the other person. This will form various triangles with base x metres and perimeter 360 m. Then the first person to take up another position a little further from the post. When the second person moves along the arc, he will form another family of triangles. In theory, the first person can make infinitesimally small movements away from the post and so this will generate infinitely many possible triangles.