Discussion OF Ex-10.4||Theorem :- In any triangle centroid Divide the Median in 2:1|| Inequilateral triangle side is equal to root3 times OF radius

Prove that three xx the square of any side of an equilateral-triangle is equal to four xx the square of the altitude.

Discussion OF Ex.-9.2||Theorem:-9.2. Area OF Two triangle between same parallel line and having same base are equal. 9.3.|| Area OF triangle is 1/2 area OF parallelogram between same parallel line and having same base

State Apollonius Theorem and Centroid divides median in the ratio 2:1?

Exemplar Questions||Discussion OF Ex.-10.5|| Taking two side OF triangle as a diameter drawn two circle then their point OF intersection always lies on third side OF triangle

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Centroid of a triangle divides its median in the ratio of 1:2 from the vertex.

Theorem 7.3 : The sides opposite to equal angles of a triangle are equal.

In a triangle ABC,A(5,6),B(-1,4) and centroid is at (2,4). Then area of triangle formed by the mid points of sides of ABC is

Theorem 7.2 : Angles opposite to equal sides of an isosceles triangle are equal.