Construction of a triangle with 3 sides

Investigating formation of a unique triangle with the given parameters as the three sides. Constriction follows SSS congruence rule.

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)
 * Use the geogebra file to demonstrate how to construct a triangle if three sides of a triangle are given
 * Students can be asked for a given any one side how many triangles are possible.
 * How will you  draw the second side? Where will you fix the position of the second side?
 * How will you draw the third side? How can you fix the position third side?
 * For what measurement of sides the triangle is not possible.
 * Vary the sliders to observe the changes reflected in the triangle.
 * Make different types of triangles with respect to  sides by changing the sliders.
 * Challenge them to make
 * Isosceles right angled triangle,
 * Equilateral triangle including right angle or obtuse angle
 * 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?
 * Will the triangle formed change if the order of sides taken for construction is changed?