Concurrent Lines and Related Theorems
Concurrent Lines and Related Theorems: Overview
This topic covers concepts such as Centroid of a Triangle, Property of Centroid, Circumcircle, Circumradius, Position of Special Points in Equilateral Triangle, Position of Circumcentre in a Triangle, Position of Orthocentre in a Triangle, etc.
Important Questions on Concurrent Lines and Related Theorems
For a right-angled triangle, is the circumcentre of the triangle . Now, , find the length of (in )?

In the figure, is the bisector of . , is _____

In the figure, is the bisector of . Find (in degrees)

The sides of a triangle is and . The inradius of the triangle is

The sides of the triangle are and . Its area is The inradius (up to decimal places) of the triangle is _____

The inradius of the triangle whose sides are and is _____

Find inradius (in ) of a triangle whose sides are and .

Find inradius(in ) of an equilateral triangle whose side is ?

The non-concurrent lines and intersect at _____.

The lines and are _____lines.

Define non concurent lines with example

For the equilateral triangle, find the position of the incentre.

For the equilateral triangle, find the position of the circumcentre.

In an equilateral triangle , the circumcentre, orthocentre and incentre are ______

The radius of a circle is . Find the radius of the pedal triangle.

What is pedal triangle?

State converse of Ceva's thorem

If and are three points on the sides of the triangle and. Then, the points and are _____

In the triangle , and are concurrent at . Then, _____

Prove Ceva's theorem.
