Difference between revisions of "Construction of a triangle with 3 sides"
Jump to navigation
Jump to search
Line 1: | Line 1: | ||
+ | This activity shows how to construct a triangle when the three sides of a triangle known. | ||
+ | |||
=== Objectives === | === Objectives === | ||
* To construct a triangle for given 3 sides | * To construct a triangle for given 3 sides | ||
Line 18: | Line 20: | ||
===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 56: | 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? |
<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)] | ||
Revision as of 09:42, 22 April 2019
This activity shows how to construct a triangle when the three sides of a triangle known.
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?