Difference between revisions of "Construction of a triangle with two angles and included side"

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===Estimated Time===
 
===Estimated Time===
20 minutes
+
20 minutes<span></span>
 
 
{{Geogebra|dkevny6s}}
 
 
 
Download this geogebra file from this [https://www.geogebra.org/material/download/format/file/id/dkevny6s link].
 
 
 
<span></span>
 
 
 
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
Prior understanding of point, lines and angles, elements of triangle, properties of triangle
 
Prior understanding of point, lines and angles, elements of triangle, properties of triangle
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* Non digital : Worksheet and pencil
 
* Non digital : Worksheet and pencil
 
* Geogebra files :  “[https://ggbm.at/dkevny6s Triangle construction (1side-2angles)]”
 
* Geogebra files :  “[https://ggbm.at/dkevny6s Triangle construction (1side-2angles)]”
 +
{{Geogebra|https://ggbm.at/xrnk5m7y}}
  
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===

Revision as of 08:53, 22 April 2019

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


Download this geogebra file from this link.


Process (How to do the activity)

  • For given 2 angles, if the angles add to 180o, can you construct the triangle?
  • Is it possible to construct a triangle with only 2 given angles. What is the other parameter required for construction.
  • If any one side is specified, along with 2 angles how many triangles are possible.
  • If the side given is an included side, how many triangles are possible.

Evaluation at the end of the activity

  • Why should the given side be included side?
  • For the given A, A and S are the triangles AAS,  ASA and SAA congruent triangles.