let ABC be a triangle and let D,E be the mid points of the sides AB,AC respectively,then BE+DC=

#Dr KN Modi University, Tonk #M.I.D.

2891 Views

let ABC be a triangle and let D,E be the mid points of the sides AB,AC respectively,then BE+DC=

devinagacharan 22nd Oct, 2019

Answer

Answer Later

Report

Answer (1)

S. Saha Student Expert 1st Dec, 2019

You have to solve it using vector mathematics. Let O be the intersection point of BE and DC. OA = a vector
OB = b vector
OC = c vector
OD= (a+b)/2
OE = (a+c)/2
BE = OE - OB ...solve it
DC = OC - OD .... solve it
BE+DE = 3/2 * (c-b)
BC= c-b
Therefore, BE+DC = 3/2* BC...

Like Share

Know More About

Dr KN Modi University, Tonk

Admissions Courses & Fees Placements Reviews

Shortlist

Related Questions

If AD and PM ARE MEDIANS OF TRIANGLE ABC AND TRIANGLE PQR RESPECTIVELY WHERE TRIANGLE ABC ~ PQR PROOF AB /PQ= AD/ PM

229 Views

construction ABC such that (ab)=4cm(BC)=6cm ABC=75 measure (ac)

652 Views

Let ABC are three points on xy-plane, than what is the condition for collinearity of ABC ?

9 Views

a current carrying closed loop in the form of a right angle isosceles triangle ABC is placed in a uniform magnetic field acting along AB. If the magnetic forces on the arm BC is F ;the force on the arm AC is

548 Views

set AB and CDC bisect each other at o (1) State the three pairs of equal parts into two triangles ABC and Bod (2) which of the following statements are teue? (a) triangle a OC is equal to triangle DOB (b)Triangle a OC is equal to triangle BOD

110 Views

Applications for Admissions are open.

Amity University | M. Design ...

Apply

Tie-ups with over 100 international Universities in USA, UK, France and Australia. Wide Range of scholarships available.

Sanskaram University M.design...

Apply

100+ Industry collaborations | 10+ Years of legacy

Apeejay Stya University M.Des...

Apply

NAAC A Grade | Trans-Disciplinary Approach | Global Diversity

Maya Devi University M.Design...

Apply

43.6 LPA Highest Package | 5.48 LPA Average Package | 150+ Courses in UG, PG, Ph.D

Creative Edge Design Exam Coa...

Apply

Choose Creative Edge by TopRankers for Design Test Preparation

Galgotias University | Admiss...

Apply

25+ years of legacy | NAAC A+ Grade | 800+ Recruiters | 1.5 CR-Highest Package

View All Application Forms

Trending Articles/News

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students

30,000+ Colleges

500+ Exams

1500+ E-books