Home
Class 12
MATHS
If D(-2, 3), E (4, -3) and F (4, 5) are ...

If D(-2, 3), E (4, -3) and F (4, 5) are the mid-points of the sides BC, CA and AB of the sides BC, CA and AB of triangle ABC, then find `sqrt((|AG|^(2)+|BG|^(2)-|CG|^(2)))` where, G is the centroid of `Delta ABC`.

Text Solution

Verified by Experts

The correct Answer is:
`=(32)/(3)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

D,E and F are the middle points of the sides of the triangle ABC, then

If ((3)/(2),0), ((3)/(2), 6) and (-1, 6) are mid-points of the sides of a triangle, then find Centroid of the triangle

D, E and F are respectively the mid-points of the sides BC, CA and AB of a triangle ABC . Show that:- BDEF is a parallelogram.

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(||gmBDEF)= 1/2 ar (triangleABC)

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(triangleDEF) = 1/4 ar (triangleABC)

If A=(1, 2, 3), B=(4, 5, 6), C=(7, 8, 9) and D, E, F are the mid points of the triangle ABC, then find the centroid of the triangle DEF.

D,E and F are respectively the mid points of the sides BC,CA and AB of an equilateral triangle ABC, prove that DEF is also equilateral triangle.

D, E and F are respectively the mid¬ points of the sides BC, CA and AB of triangleABC . Determine the ratio of the areas of triangles DEF and ABC.

If D, E, f are the mid-point of the sides of triangle ABC, prove that : ar(/_\DEF)=1/4 ar(/_\ABC) .