Home
Class 12
MATHS
The lines joining the vertices of a tetr...

The lines joining the vertices of a tetrahedron to the centroids of opposite faces are concurrent.

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (MULTIPLE CHOICE QUESTIONS) |165 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Comprehension)|3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

The fout lines drawing from the vertices of any tetrahedron to the centroid to the centroid of the opposite faces meet in a point whose distance from each vertex is 'k' times the distance from each vertex to the opposite face, where k is

Show that the segments joining vertices to the centroid of opposite faces of a tetrahedron are concurren Hence find the position vector of the point of concurrence.

Prove that the perpendicular let fall from the vertices of a triangle to the opposite sides are concurrent.

Medians the line segments joining the vertices to the mid-points of the opposite side of a triangle are known as its medians.

Prove that the volume of the tetrahedron and that formed by the centroids of the faces are in the ratio of 27:1.

Find the ratio of the volume of tetrahedron with that of the tetrahedron formed by the centroids of its faces. Given Volume of tetrahedron =1/3 times area of base triangle times height of vertex.

Show that the line joining any vertex of a parallelogram to the mid - point of an opposite side divides the opposite diagonal in the ratio 2 : 1.

Line segments joining the vertices to the mid- points of the opposite sides to a triangle are known as medians (b) altitudes (c) heights (d) angle bisectors

A(1,1,3) , B(4,3,2) and C(5 ,2, 7) are three vertices of a tetrahedron for which the centroid is (4 , 5/2 , 5) the fourth vertex is