Construction of a triangle with two sides and included angle

Construing of a triangle when two of the sides and an angle of a triangle are known and recognizing the role of the given angle, this construction follows SAS congruence rule for the given parameters.

Objectives

 * To construct a triangle given two sides and an angles
 * To understand the given angle should be included angle when two sides are given

Estimated Time
20 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 (2sides-1angle)"

Process (How to do the activity)
Evaluation at the end of the activity
 * For given angles and sides, which parameter will you start the construction with.
 * If the given angle is drawn first what are the next steps of construction.
 * How many triangles are possible if the triangle is drawn such that the given angle is not included angle ( - if the second side is not marked along the arm of the angle but from  point B)
 * If you start the construction with a given side which of the other two parameters should be taken next  to complete the required triangle.
 * How many triangles are possible for given 2 sides and an angle?
 * What is the additional condition that is required to be specified if 2 sides and 1 angle is given for constructing a triangle?

** Actual construction (using robocompass)