Triangle#1

Properties of Triangles: Lecture 1

Triangle (Theorem 1)|(Theorem 2)|NCERT Questions

Let A be the set of all triangles in a plane show that the relation R={(Delta_(1),Delta_(2)):Delta_(1)~Delta_(2)} is an equivalence relation on A .

Delta_(1) and Delta_(2) are respectively areas of in circle and circumcircle of triangle formed by (0,0), (2,0) and (1,sqrt(3)) then which of following is NOT correct (A) Delta_(1)+Delta_(2)=(5 pi)/(3) (B) |Delta_(1)-Delta_(2)|=pi (C) 3Delta_(1)+6Delta_(2)=9 pi (D) [2Delta_(1)+3Delta_(2)]=12 , where [.] is G.I.F.

If Delta be area of incircle of a triangle ABC and Delta_(1),Delta_(2),Delta_(3) be the area of excircle then find the least value of (Delta_(1)Delta_(2)Delta_(3))/(729Delta^(3))

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle Delta_(2) is the area of the triangle formed by the mid- point of the sides of the same triangle, then Delta_(1):Delta_(2) =

In a Delta ABC if Delta<=(1)/(4)sqrt(abc(a+b+c)) then the triangle is

Let A(0,-1),B(0,3)andC(2,1) be three points Let Delta_(1) be the area of the triangle ABC and Delta_(2) be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A,B and C such that (Delta_(1))/(Delta_(2))=(1)/(x) Find the value of x.

If Delta_(1) and Delta_(2) are respectively areas of incircle and circumcircle of triangle formed by (0,0), (2,0) and (1,sqrt(3)) , then (Delta_(2))/(Delta_(1))=?

G is the centroid of triangle ABC and A_(1) and B_(1) are the midpoints of sides AB and AC , respectively.If Delta_(1) is the area of quadrilateral GA_(1)AB_(1) and Delta is the area of triangle ABC, then (Delta)/(Delta_(1)) is equal to