Construction of a triangle with 3 sides

Objectives

 * To construct a triangle for given 3 sides
 * To show formation of different types of triangles when sides are varied
 * To show changes in angles when sides are varied.
 * To show possibility of formation of a triangle

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
Prior understanding of point, lines and angles, elements of triangle, properties of 	triangle

Materials/ Resources needed

 * Digital : Computer, geogebra application, projector.
 * Non digital : Worksheet and pencil
 * Geogebra files : “Triangle construction (3sides)”

Process (How to do the activity)
Work sheet Evaluation	at the end of the activity ** Actual construction (using robocompass)
 * 1. Use the geogebra file to demonstrate how to construct a triangle given 3 sides.
 * 2. Students can be asked for a given any one side how many triangles are possible.
 * 3. How will you  draw the second side? Where will you fix the position of the second side?
 * 4. How will you draw the third side? How can you fix the position third side?
 * 5. For what measurement of sides the triangle is not possible.
 * 6. Vary the sliders to observe the changes reflected in the triangle.
 * 7. Make different types of triangles with respect to  sides by changing the sliders.
 * 8. Challenge them to make
 * Isosceles right angled triangle,
 * Equilateral triangle including right angle or obtuse angle
 * 9. Note the measure of sides in the worksheet
 * Can	you construct a triangle for any given sides?
 * For	given 3 sides how many triangles are possible?