Home
Class 11
MATHS
In a triangle ABC, if D and E are mid po...

In a triangle ABC, if D and E are mid points of sides AB and AC respectively. Show that `vecBE+ vecDC=(3)/(2)vecBC`.

Text Solution

Verified by Experts

The correct Answer is:
` 3/2 vec(BC)`
Promotional Banner

Topper's Solved these Questions

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise Section - II|10 Videos

  • SURAs MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise PART-IV|11 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise SECTION - D|5 Videos

Similar Questions

Explore conceptually related problems

If D and E, are the midpoints of the sides AB and AC of a triangle ABC, prove that vec(BE) +vec(DC)=(3)/(2)vec(BC).

Let A, B, and C be the vertices of a triangle. Let D, E, and F be the midpoints of the sides BC, CA, and AB respectively. Show that vec(AD)+vec(BE)+vec(CF)=vec(0) .

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

A,B, and C are vertice of DeltaABC,D,E and F are mid point of side AB,BC and AC respectively. If the coordinates of A, D and F are (-3,5),(5,1) and (-5,-1) respectively. Find the coordinates of B,C and E.

In Delta ABC , D and E are points on the sides AB and AC respectively. For each of the following cases show that DE||BC (i) AB=12 cm , AD=8 cm, AE=12 cm and AC=18 cm. (ii) AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE=1.8 cm.