No products in the cart.

Show that the digonals of a …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Show that the digonals of a parallelogram divide it into four triangles of equal area.
  • 1 answers

Yogita Ingle 4 years, 8 months ago

we know that diagonal of a parallelogram bisect each other
there fore AO is equal to OC
and
DO is equal to OB
in parallelogram ABCD
AC is the diagonal and O is the median of triangle divide it into two eqaul parts of equal triangles
this implies in triangle ABC, oc is median there fore
ar(AOC)is equal to ar (BOC) .............(1)

similarly in triangle CBD, OB is median
ar(COB) is equal to ar(BOD) ....................(2)

in trianle BAD, OD is median
ar(BOD) is equal to ar(AOD).............. (3)

NOW
from 1,2 and 3 we get
ar(AOC)=ar(BOC)=ar(BOD)=ar(AOD)

http://mycbseguide.com/examin8/

Related Questions

Ch-1 introduction
  • 0 answers
2x+5y
  • 0 answers
What is 38747484±393884747
  • 0 answers
X³-12x²+39x-28
  • 0 answers
3√2×4√2×12√32
  • 0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App