answr
Join / Login
maths
avatarAsked on December 26, 2019 by Apoorva Christina

If the medians of a triangle intersect at prove that:

Answer

Given,
AM, BN and CL are medians.

To prove:


Proof:
To &

AG is the median


Similarly
BG is the median


So we can say that

Now,


(they are in equal area)


Hence proved.

Answer verified by Toppr

Upvote (0)
Was this answer helpful?

Related questions

In , , . If Find and

View solution

bisects angle .

View solution

In a squared sheet, draw two triangles of equal areas such that
(i) the triangles are congruent.
(ii) the triangles are not congruent.
Will their perimeters be the same?

View solution

In the given figure, OA = OC and AB = BC.

then,

State whether the above statement is true or false.

View solution

and  are congruent.

State whether the above statement is true or false.

View solution

In triangle ABC; AB = AC. P, Q, and R are mid-points of sides AB, AC, and BC respectively. Hence, BQ = CP.
State whether the above statement is true or false.

View solution

ABC is a triangle in which  is a point on side BC such that AD bisects and AB =CD. Find if

View solution

In Figure, if congruent right triangles and share leg , then calculate the value of .

View solution

and are two isosceles triangles on the same base and vertices and are on the same side of . If is extended to intersect at , show that
(i)
(ii)
(iii) bisects as well as .
(iv) is the perpendicular bisector of .

View solution

View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution
View solution

View more

Create custom Assignments
Customize assignments and download PDF’s
Make now

Learn with content

Watch learning videos, swipe through stories, and browse through concepts

  • Concepts
  • Videos
  • Stories

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan