Latest TCS Aptitude Question SOLUTION: .diagonal of a square is double the side of an equilateral triangle find the ratio of area of triangle to area of square

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(#M40011001) TCS question 12 sep 2012 Keep an EYE

.diagonal of a square is double the side of an equilateral triangle find the ratio of area of triangle to area of square

Asked In TCS devang vohra (11 years ago)

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dola  (11 years ago)

let sides of equilateral triangle be 'a', therefore area= √3/4 * a^2

now, diagonal of square is 2a therefore sides of square will be √2*a
and area of square = 2 a^2

hence, ratio = (√3/4* a^2)/(2* a^2)
answer = √3/8

Is this solution Helpfull? Yes (21) | No (1)  

Shweta  (11 years ago)

If a is side of triangle and x is side of square , then
4a^2= x^2+x^2= 2x^2
x^2= 2a^2 = area of square
area of triangle = (root 3)* (a^2)/4
ratio of area of triangle to area of square = (root 3):8

Is this solution Helpfull? Yes (15) | No   

RITESH SRIVASTAV  (11 years ago)

diagonal of square is 2a(say).then side of square will be 2a/sqrt(2)=sqrt(2)a
hence area 2a^2
area of triangle sqrt(3)a^2/4
hence reqd ratio will be
sqrt(3):8

Is this solution Helpfull? Yes (2) | No (1)  

urvashi  (11 years ago)

let side of square =a
let side of eq. triangle=b
given,
root2*a=2*b
thus,a/b=root2
now area of square=a^2
area of eq triangle=root3/4*b^2
ratio=root3/4(b^2/a^2)
=root3/4(b^2/2b^2)
=root3/4(1/2)
=root3/8
ans=root3/8

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Raj Kumar  (11 years ago)

please help me... 12 septeber tcs paper send me..... my email id : callmenowraj@gmail.com

Is this solution Helpfull? Yes | No (4)  

Mrudula  (11 years ago)

If a is side of triangle and x is side of square , then
4a^2= x^2+x^2= 2x^2
x^2= 2a^2 = area of square
area of triangle = (root 3)* (a^2)/4
ratio of area of triangle to area of square = (root 3):8

Is this solution Helpfull? Yes | No (1)  

RITESH SRIVASTAV  (11 years ago)

some1 please send me all question of tcs 12 sep 2012.my email id is:-
kodermariteshsri@gmail.com

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Anand  (11 years ago)

can u plez mail me the all the questions which u have attended in tcs. my emailID is munna9595@gmail.com

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