Construction of a triangle with side, angle and sum of other two sides

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. Construction of a triangle with given parameters sum of two sides and an angle follows SAS congruence rule.

Objectives
To construct a triangle with side, angle and sum of other two sides

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(1side-1angle-sum of other 2 sides)”

Process (How to do the activity)
Evaluation at the end of the activity
 * Use the slider to set the base and the given angle
 * The difference of the other two sides is marked using the slider
 * Follow the steps for construction – step1, step2
 * Students can vary the sliders to observe the changes reflected in the triangle.
 * When does the triangle not form?