# ABCD is a square whose diagonals intersect at O.Calculate ar(AOB) : ar(ABCD).

2
by simi
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plzz help me wid this qstn
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2015-03-15T13:13:17+05:30
given that

ABCD is a square
and diagonals intersect at  o
in a square diagonals bisect each other
soo it dives into 4 congruent triangles

requried :
ar( abcd ) : ar ( aob ) = ???

solution :

1 triangle is 1/ 4 of square soo
ratio of that is  1 : 4
ar ( aob ) = 1
ar ( abcd ) = 4

soo 1 : 4

hope this helped u . plzz mark my answer as the best one plzzz

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okk stop it and i am sorry oz i started it
Moderator plzz delete all the comments. . This a request
ok
2015-03-15T13:17:28+05:30
Square is a type of parralelogram
means its diagonals bisect each other and diagonal cut it into tris of equal area
so
ar abcd=ar abc + ar acd
ar abcd=2 ar abd
ar abd = ar aob+ ar boc
also ar aob = ar boc as bo is median
ar abcd =2*2 ar aob
ar abcd = 4 ar aob
ar abcd:ar aob
1:4

plzz mark as best
Nope if your answer is not marked as best... then this not means that you should report other answers which are correct. ...plzz be calm ;)
plz read the comment