Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
639 views
in Quadrilaterals by (26.9k points)
closed by

ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCD respectively, then EF = 

A. AE 

B. BE 

C. CE 

D. DE

1 Answer

+1 vote
by (27.3k points)
selected by
 
Best answer

Option : (A)

Given, 

ABCD is a parallelogram 

E & F are centroids of ∆ABD & ∆BCD respectively 

We know that diagonals of parallelogram bisect each other & centroid of a median divides it in 2 : 1 

So, 

In ∆ABD,

From equations (i) & (ii) 

EO = FO 

EF = 2 FO ……..(iii) 

AE = CF……(iv) 

From equation (i),

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...