Latest Elitmus Aptitude Question SOLUTION: the distance between parallel sides of the hexagon is 9. determine the length of the hexagon

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(#M40151703) ELITMUS Numerical Ability question geometry Keep an EYE

the distance between parallel sides of the hexagon is 9. determine the length of the hexagon

Asked In Elitmus laxmi (9 years ago)

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siddharth prakash singh  (9 years ago)

Length of each side of regular hexagon will be 3*sqrt3. total length ( perimeter) of regular hexagon will be 18*sqrt3.

Is this solution Helpfull? Yes (25) | No (9)  

Udit Tyagi  (8 years ago)

length of hexagon =height or distance b/w parallel sides/sqrt(3) ,therefore ans is 9/sqrt(3).

Is this solution Helpfull? Yes (10) | No (1)  

padam  (9 years ago)

length of each side=h/sqrt3
length=9/sqrt3
18sqrt3 answer

Is this solution Helpfull? Yes (2) | No (8)  

amit kumar  (8 years ago)

check this for better xplanation
http://www.careerbless.com/qna/discuss.php?questionid=908http://www.careerbless.com/qna/discuss.php?questionid=908

Is this solution Helpfull? Yes (2) | No (2)  

sanjeev kumar  (8 years ago)

height of all equilateral triangles should be 9/2.by using height formula we can compute side i.e
3* (3)^1/2

Is this solution Helpfull? Yes (1) | No (3)  

pranav kumar  (8 years ago)

Hexagon made by 6 equilateral triangle.height of equilateral triangle=9/2=4.5
if x is the length of side of equilateral triangle then 4.5=sqrt3/2*x
so x=3*sqrt3
ans=6*3*sqrt3=18sqrt3

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SHANUR RAHMAN  (8 years ago)

As the apothem(the radius of inscribed circle) of any hexagon is root3*side...

So the distance between the parallel sides should be 2*root3*side which is equal to 9..

Therefore...side will be 9/2*root3= 3root3/2

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neelam soni  (8 years ago)

ans. is 9* sqrt 3.
bcz ( a * sqrt 3 ) = 4.5
a= (3*sqrt 3 )/2
length of hexagon = ( 6* 3 sqrt 3) / 2

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chandan kumar  (8 years ago)

Distance between || sides=9 which mean length of sides a =>sqrt(3)/2*a=9/2=>a=3*sqrt(3)=5.196

=> length of hexagon=6*a=6*5.196=31.177

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SANTU MAITY  (8 years ago)

Let length of each side be a. In the same diagram we have seen above, it can be observed that distance between parallel sides of a regular hexagon with side a
= 2 × height of the equilateral triangle with side a
=(2*root(3)*a)/2=root(3)
Using the above relation, we have
9 = root(3)*a where a is the length of each side
therefore, a=9/root(3)=3*root(3)
required length of hexagon=6a=6*3*root(3)=18*root(3)
so,answer is 18*root(3)

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