Difference between revisions of "Construction of a triangle with 3 sides"
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| + | Investigating formation of a unique triangle with the given parameters as the three sides. Constriction follows SSS congruence rule. | ||
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=== Objectives === | === Objectives === | ||
* To construct a triangle for given 3 sides | * To construct a triangle for given 3 sides | ||
| Line 14: | Line 16: | ||
* Digital : Computer, geogebra application, projector. | * Digital : Computer, geogebra application, projector. | ||
* Non digital : Worksheet and pencil | * Non digital : Worksheet and pencil | ||
| − | * Geogebra files : | + | * Geogebra files : "[https://ggbm.at/dnpdzdq3 Triangle construction (3sides)]" |
| + | {{Geogebra|dnpdzdq3}} | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
| − | * | + | * Use the geogebra file to demonstrate how to construct a triangle if three sides of a triangle are given |
| − | * | + | * Students can be asked for a given any one side how many triangles are possible. |
| − | * | + | * How will you draw the second side? Where will you fix the position of the second side? |
| − | * | + | * How will you draw the third side? How can you fix the position third side? |
| − | * | + | * For what measurement of sides the triangle is not possible. |
| − | * | + | * Vary the sliders to observe the changes reflected in the triangle. |
| − | * | + | * Make different types of triangles with respect to sides by changing the sliders. |
| − | * | + | * Challenge them to make |
** Isosceles right angled triangle, | ** Isosceles right angled triangle, | ||
** Equilateral triangle including right angle or obtuse angle | ** Equilateral triangle including right angle or obtuse angle | ||
| − | * | + | * Note the measure of sides in the worksheet |
'''Work sheet''' | '''Work sheet''' | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 55: | Line 58: | ||
|} | |} | ||
'''Evaluation at the end of the activity''' | '''Evaluation at the end of the activity''' | ||
| − | * Can you construct a triangle for any given sides? | + | * Can you construct a triangle for any given sides? |
| − | * For given 3 sides how many triangles are possible? | + | * For given 3 sides how many triangles are possible? |
| + | * Will the triangle formed change if the order of sides taken for construction is changed? | ||
<nowiki>**</nowiki>[http://www.robocompass.com/share?id=1iexrtm431kxd Actual construction (using robocompass)] | <nowiki>**</nowiki>[http://www.robocompass.com/share?id=1iexrtm431kxd Actual construction (using robocompass)] | ||
[[Category:Triangles]] | [[Category:Triangles]] | ||
| + | [[Category:Class 8]] | ||
| + | [[Category:Classroom activities]] | ||
Latest revision as of 10:38, 26 April 2019
Investigating formation of a unique triangle with the given parameters as the three sides. Constriction follows SSS congruence rule.
Objectives
- To construct a triangle for given 3 sides
- To show formation of different types of triangles when sides are varied
- To show changes in angles when sides are varied.
- To show possibility of formation of a triangle
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 (3sides)"
Download this geogebra file from this link.
Process (How to do the activity)
- Use the geogebra file to demonstrate how to construct a triangle if three sides of a triangle are given
- Students can be asked for a given any one side how many triangles are possible.
- How will you draw the second side? Where will you fix the position of the second side?
- How will you draw the third side? How can you fix the position third side?
- For what measurement of sides the triangle is not possible.
- Vary the sliders to observe the changes reflected in the triangle.
- Make different types of triangles with respect to sides by changing the sliders.
- Challenge them to make
- Isosceles right angled triangle,
- Equilateral triangle including right angle or obtuse angle
- Note the measure of sides in the worksheet
Work sheet
| Side1 | Side2 | Side3 | Side1+ Side2 > Side 3 | Side2 + Side 3 > Side 1 | Side1+ Side3 > Side 2 | YourObservations |
| . | ||||||
| . |
Evaluation at the end of the activity
- Can you construct a triangle for any given sides?
- For given 3 sides how many triangles are possible?
- Will the triangle formed change if the order of sides taken for construction is changed?