Concurrent Lines
NIOS · Class 10 · Maths
Summary of Concurrent Lines for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Concurrent lines are three or more lines that meet at exactly one point. This chapter explores four important types of concurrent lines in triangles: angle bisectors, perpendicular bisectors, altitudes, and medians. Each type has a special point of concurrency with unique properties. Understanding t
Key Concepts
The three angle bisectors of
The three angle bisectors of a triangle are concurrent at a point called the incentre (I). This point is equidistant from all three sides of the trian
The three perpendicular bisectors of
The three perpendicular bisectors of the sides of a triangle are concurrent at a point called the circumcentre (O). This point is equidistant from all
The three altitudes of a triangle
The three altitudes of a triangle are concurrent at a point called the orthocentre (H). An altitude is a perpendicular from a vertex to the opposite s
The three medians of a triangle
The three medians of a triangle are concurrent at a point called the centroid (G). A median joins a vertex to the midpoint of the opposite side. Step-
Learning Objectives
- Define concurrent lines and identify points of concurrency in triangles
- Understand the four types of concurrent lines: angle bisectors, perpendicular bisectors, altitudes, and medians
- Learn about incentre, circumcentre, orthocentre, and centroid - their properties and positions
- Solve problems involving incircle, circumcircle, and their radii calculations
- Apply concurrency properties in special triangles (equilateral, isosceles, right-angled)
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