DSERT - 7 - Maths :: Properties of Triangles
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[Author - Kripa S]
Objective: Explain properties of triangle for different types of triangle
Subtopics to be covered:
- Revise types of triangles based on sides and angles
- Median and Altitude of a triangle
- Exterior angle of triangle and its property
- Angle sum Property of triangle
- Property on sum of lengths of sides of triangle
Learning Outcome:
- Students can solve problems based on the above concepts
[Author - Kripa S]
http://ktbs.kar.nic.in/New/website%20textbooks/class7/7th-kannada-maths-1.pdf#page=169 (Kannada Medium)
http://ktbs.kar.nic.in/New/website%20textbooks/class7/7th-english-maths-1.pdf#page=170 (English Medium)
[Author - Kripa S]
https://www.youtube.com/watch?v=7wDDgksd6Rw (Angle properties in Triangle)
https://www.youtube.com/watch?v=1k0G-Y41jRA (Types of triangles - English)
[Author - Kripa S]
https://s3-ap-southeast-1.amazonaws.com/learnhive/lcards/Types-of-Triangles-521dd275368b9.png (types of triangles)
http://s3-ap-southeast-1.amazonaws.com/subscriber.images/maths/2016/06/22114543/ALTITUDE.png (Altitudes of a triangle)
http://s3-ap-southeast-1.amazonaws.com/subscriber.images/maths/2016/06/22114547/Triangle.Centroid.Median.png (Medians of a triangle)
http://image.wistatutor.com/content/feed/u774/angle%20pro3.JPG (exterior angle property)
https://dj1hlxw0wr920.cloudfront.net/userfiles/wyzfiles/f0516fa1-669b-441d-9f11-a33907a2a0b0.gif (Angle sum property of a triangle)
https://upload.wikimedia.org/wikipedia/commons/thumb/b/b2/TriangleInequality.svg/220px-TriangleInequality.svg.png ( Property of lengths of sides of triangle)
[Author - Kripa S]
1. Can a median of a side of triangle be out of the triangle ? Try and see.
2. Draw one equilateral triangle, one isosceles triangle, one scalene triangle. Find their altitudes and means. What is common about them?
[Contributor - Abhay Karjol]
| Term | Transliterated Term | Translated Term |
| Sum of interior angles of a triangle | ಸಂ ಆಫ್ ಇಂಟೀರಿಯರ್ ಆಂಗಲ್ಸ್ ಆಫ್ ಎ ಟ್ರಯಾಂಗಲ್ | ತ್ರಿಭುಜದ ಒಳಕೋನಗಳ ಮೊತ್ತ |
| Properties of parallel lines | ಪ್ರಾಪರ್ಟೀಸ್ ಆಫ್ ಪ್ಯಾರಲಲ್ ಲೈನ್ಸ್ | ಸಮಾಂತರ ರೇಖೆಗಳ ಗುಣಲಕ್ಷಣಗಳು |
| Logical proof | ಲಾಜಿಕಲ್ ಪ್ರೂಫ್ | ತಾರ್ಕಿಕ ಸಾಧನೆ |
| Activity based proof | ಆಕ್ಟಿವಿಟಿ ಬೇಸ್ಡ್ ಪ್ರೂಫ್ | ಪ್ರಾಯೋಗಿಕ ದೃಢೀಕರಣ |
| Interior opposite angles | ಇಂಟೀರಿಯರ್ ಆಪೊಸಿಟ್ ಆಂಗಲ್ಸ್ | ಅಂತರಾಭಿಮುಖ ಕೋನಗಳು |
| Theorem | ಥಿಯರಮ್ | ಪ್ರಮೇಯ |
| Exterior angle of the triangle | ಎಕ್ಸ್ಟರಿಯರ್ ಆಂಗಲ್ ಆಫ್ ದ ಟ್ರಯಾಂಗಲ್ | ತ್ರಿಭುಜದ ಬಾಹ್ಯಕೋನ (ಹೊರಕೋನ) |
| Adjacent interior angle | ಅಡ್ಜಸೆಂಟ್ ಇಂಟೀರಿಯರ್ ಆಂಗಲ್ | ಪಾರ್ಶ್ವ ಅಂತರ್ ಕೋನ |
| Pythagoras Theorem (Bodhayana Sutra) | ಪೈಥಾಗೊರಸ್ ಥಿಯರಮ್ (ಬೋಧಾಯನ ಸೂತ್ರ) | ಪೈಥಾಗೊರಸ್ ನ ಪ್ರಮೇಯ (ಬೋಧಾಯನ ಸೂತ್ರ) |
| Hypotenuse | ಹೈಪೊಟೆನಸ್ | ವಿಕರ್ಣ |
[Contributor - Paul D'silva]
https://drive.google.com/open?id=1Qja-hHOJBSmXjQKTykstJYjlablzSLir
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