Difference between revisions of "Angular bisectors and incenter of a triangle"
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| + | The intersecting point of three lines which are the bisectors of three angles of a triangle that is the incenter and it's properties are examined. | ||
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=== Objectives === | === Objectives === | ||
| − | Introduce angular bisectors in a triangle | + | Introduce angular bisectors in a triangle and their point of concurrence. |
===Estimated Time=== | ===Estimated Time=== | ||
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Digital resources: Laptop, projector and a pointer. | Digital resources: Laptop, projector and a pointer. | ||
| − | Geogebra file: | + | Geogebra file: [https://ggbm.at/vgcudkjp Concurrency of angular bisectors.ggb] |
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| + | {{Geogebra|vgcudkjp}} | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
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*Question Corner: | *Question Corner: | ||
#What do you think would be the practical applications of the incentre and incircle ? | #What do you think would be the practical applications of the incentre and incircle ? | ||
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| + | [[Category:Triangles]] | ||
Latest revision as of 07:48, 29 October 2019
The intersecting point of three lines which are the bisectors of three angles of a triangle that is the incenter and it's properties are examined.
Objectives
Introduce angular bisectors in a triangle and their point of concurrence.
Estimated Time
40 minutes.
Prerequisites/Instructions, prior preparations, if any
Angles, angle bisectors , concurrent lines and triangles should have been covered.
Materials/ Resources needed
Digital resources: Laptop, projector and a pointer.
Geogebra file: Concurrency of angular bisectors.ggb
Download this geogebra file from this link.
Process (How to do the activity)
- The teacher can use this geogebra file and ask the questions listed below.
- Developmental Questions;
- What type of triangle is this ? Why ?
- Identify the three angles.
- What is an angle bisector ?
- Identify the point of concurrence of angle bisectors ?
- This point, called incentre of the triangle does its position change with the type of triangle ?
- Identify the circle. What is its radius ? What can this radius be called ?
- What is this circle called ?
- Evaluation:
- What is incentre, inradius and incircle ?
- Question Corner:
- What do you think would be the practical applications of the incentre and incircle ?