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

Difference of two sides and an angle are parameters known, this construction of triangle follows SAS congruence rule.

Objectives
To construct a triangle with side, angle and difference 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-difference 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?