A D is a median of A B C . The bisector...

`A D` is a median of ` A B C` . The bisector of `/_A D B` and `/_A D C` meet `A Ba n dA C` in `Ea n dF` respectively. Prove that `E F B Cdot`

Topper's Solved these Questions

TRIANGLES
NAGEEN PRAKASHAN ENGLISH|Exercise Eercise 6b|1 Videos
TRIANGLES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6b|29 Videos
TRIANGLES
NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|14 Videos
STATISTICS
NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos
VOLUME AND SURFACE AREA OF SOLIDS
NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

A D is a median of Delta A B C . The bisector of /_A D B and /_A D C meet AB and AC in E and F respectively. Prove that EF||BC

O is any point inside a triangle A B C . The bisector of /_A O B ,/_B O C and /_C O A meet the sides A B ,B C and C A in point D ,E and F respectively. Show that A D * B E * C F=D B * E C * F A

In a parallelogram A B C D , the bisectors of /_A\ a n d\ /_B meet at Odot Find /_A O Bdot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /_A\ a n d\ /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In Figure, bisectors of /_B\ a n d\ /_D of quadrilateral A B C D meet C D\ a n d\ A B produced at P\ a n d\ Q respectively. Prove that /_P+/_Q=1/2(/_A B C+/_A D C)dot

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D , if bisectors of the /_A B Ca n d/_A D C meet on the diagonal A C , prove that the bisectors of /_B A Da n d/_B C D will meet on the diagonal B Ddot

NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6a

Da n dE are respectively the points on the side A Ba n dA C of a A B ...
Text Solution
|
In a A B C , D and E are points on the sides A B and A C respective...
Text Solution
|
In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...
Text Solution
|
In the given figure DE||AC and DC||AP. Prove that (BE)/(EC) = (BC)/(C...
Text Solution
|
In a A B C ,D and E are points on sides A B a n d A C respectively su...
Text Solution
|
In A B C ,\ D and E are points on sides A B and A C respectively ...
Text Solution
|
In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.
Text Solution
|
In the given figure A, B and C are points on OP, OQ and OR respectivel...
Text Solution
|
Prove that the diagonals of a trapezium divide each other proportional...
Text Solution
|
In triangleABCthe bisector of angleB meets AC at D. A line PQ||AC meet...
Text Solution
|
The diagonals of a quadrilateral ABCD intersect each other at the poi...
Text Solution
|
In the given figure AD is the bisector of angleA. If BD= 4 cm , DC = 3...
Text Solution
|
The bisector of interior /A of A B C meets B C in D , and the bisecto...
Text Solution
|
A D is a median of A B C . The bisector of /A D B and /A D C meet A B...
Text Solution
|
If the bisector of an angle of a triangle bisects the opposite side...
Text Solution
|
D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...
Text Solution
|
If the diagonal BD of a quadrillateral ABCD bisects both angleB and an...
Text Solution
|
Prove that the line segments joints joining the mid-points of the a...
Text Solution
|
In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...
Text Solution
|
In Figure, A B C D is a parallelogram in which P is the mid-point of D...
Text Solution
|