Home
Class 12
MATHS
Two coplanar triangles ABC and PQR re su...

Two coplanar triangles ABC and PQR re such that the lines drawn through the vertices of `/_\ABC` parallel to the sides of `/_\PQR` are concurrent. Prove that the lines drawn through the vertices of `/_\PQR` parallel to sides of `/_\ABC` are concurrent.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

The radius of the circle passing through the vertices of the triangle ABC, is

Prove using similar triangles, that a line drawn through the mid-point of one side of a triangle parallel to another side, bisects the third side.

Two triangles ABC and PQR are such that the perpendiculars from A to QR ,B to RP and C to PQ are concurrent .Show that the perpendicular from P to BC ,Q to CA and R to AB are also concurrent .

The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

25 lines are drawn in a plane. Such that no two of them are parallel and no three of them are concurrent. The number of points in which these lines intersect, is:

ABC is a triangle A line is drawn parallel to BC to meet AB and AC in D and E respectively. Prove that the median through A bisects DE.

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle