chitagong 12th bdmo p7

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barnik
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chitagong 12th bdmo p7

Unread post by barnik » Fri Dec 12, 2014 1:18 pm

In triangle ABC, AB & AC intersect side DE of rectangle DBCE at F & G points. FG = 2, triangle ABC's perimeter is double of the perimeter of triangle AFG . If area of triangle ABC is 12 sq units, Then find the area of rectangle DBCE.

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Raiyan Jamil
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Re: chitagong 12th bdmo p7

Unread post by Raiyan Jamil » Sat Dec 13, 2014 10:41 am

The area of triangle DBCE is also 12 sq units.
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tanmoy
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Re: chitagong 12th bdmo p7

Unread post by tanmoy » Sun Dec 14, 2014 2:58 pm

$F$ and $G$ are the midpoints of sides $AB$ and $AC$ respectively.So,$BC=4$ units.The height of triangle $ABC$ is $6$.
$\therefore$ $BD=CE=3$.$\therefore$ $(DBCE)=12$ square units :)
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