Difference between revisions of "Construction of a triangle with two angles and included side"
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− | + | Construction of a triangle when two angles of a triangle and a side are known and understanding the side given can only be constructed between the two angles to form a unique triangle. Construction follows ASA congruence rule. | |
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=== Objectives === | === 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 | |
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===Estimated Time=== | ===Estimated Time=== | ||
− | + | 20 minutes<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 | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
+ | * Digital : Computer, geogebra application, projector. | ||
+ | * Non digital : Worksheet and pencil | ||
+ | * Geogebra files : “[https://ggbm.at/h4czudwd Triangle construction (1side-2angles)]” | ||
+ | {{Geogebra|h4czudwd}} | ||
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===Process (How to do the activity)=== | ===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. | |
− | What | + | * 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. | |
− | + | [[Category:Triangles]] | |
+ | [[Category:Class 8]] |
Latest revision as of 10:39, 26 April 2019
Construction of a triangle when two angles of a triangle and a side are known and understanding the side given can only be constructed between the two angles to form a unique triangle. Construction follows ASA congruence rule.
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 (1side-2angles)”
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.