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Line 102: − + − Concurrent lines are three or more lines that intersect at the same point. The mutual point of intersection is the point of concurrency+ + + + + + +
→Additional Resources
** [https://www.urbanpro.com/cbse-class-9-maths-construction UrbanPro] : This website gives downloadable worksheets with problems on triangle construction.
** [https://www.urbanpro.com/cbse-class-9-maths-construction UrbanPro] : This website gives downloadable worksheets with problems on triangle construction.
** [https://schools.aglasem.com/59755 AglaSem Schools] : This website lists important questions for math constructions.
** [https://schools.aglasem.com/59755 AglaSem Schools] : This website lists important questions for math constructions.
** [http://www.nios.ac.in/media/documents/SecMathcour/Eng/Chapter-12.pdf National Institute of Open Schooling]: This website has good reference notes on concurrency of lines in a triangle for both students and teachers.
** [http://www.mathopenref.com/ Math Open Reference] : This website gives activities that can be tried and manipulated online for topics on geometry.
* Books and journals
* Books and journals
Constructing a unique triangle with perimeter and with other two parameters the base angles of the triangle follows construction on a triangle using SAS congruence rule.
Constructing a unique triangle with perimeter and with other two parameters the base angles of the triangle follows construction on a triangle using SAS congruence rule.
==== Concept #: [[Concurrency in triangles]] ====
==== Concept #: Concurrency in triangles ====
A set of lines are said to be concurrent if they all intersect at the same point. In the figure below, the three lines are concurrent because they all intersect at a single point P. The point P is called the "point of concurrency". This concept appears in the various centers of a triangle.
[[File:concurrent lines.jpeg|100px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Concurrent_lines.jpeg]]
All non-parallel lines are concurrent.
Rays and line segments may, or may not be concurrent, even when not parallel.
In a triangle, the following sets of lines are concurrent:
In a triangle, the following sets of lines are concurrent: