Latest TCS Aptitude Question SOLUTION: The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?

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The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?

Asked In TCS ritu singh (11 years ago)

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Rahul dutta  (11 years ago)

assume dat the side of first triangle is a
the perimeter is 3a
so the altitude is (sqrt(3)*a)/2
it is the radius of the circle
now we know radius of circumcircle of an equilateral triangle of a side =b/sqrt(3)
now
b/sqrt(3)=(sqrt(3)*a)/2
or 2b=3a
b=3a/2
perimeter is 3*(3a/2)
so ratio is 3a:(9a/2)
finally 2:3

Is this solution Helpfull? Yes (41) | No (3)  

vivek chauhan  (11 years ago)

sorry correct answr = 2:3
solution:in first equilateral triangle altitude =r(radius of a circle)so side will be (a)=2/sqrt(3)(u can find the side with help of pithagoras thrm in that triangle).so perimeter(P1) =3*a
now we have to find the perimeter of that equilateral triangle which is inside the circle of radius r.first find the side of this triangle that will be b=sqrt(3)(use cosine rule to find this side)so perimeter(P2)=3*b
now the ratio=P1/P2=3*a/3*b=2:3

Is this solution Helpfull? Yes (16) | No (4)  

himanshu umrao  (11 years ago)

ans= 1:sqrt(3)

Is this solution Helpfull? Yes (6) | No (9)  

vivek chauhan  (11 years ago)

ratio=1:sqrt(3)

Is this solution Helpfull? Yes (2) | No (7)  

ritu singh  (11 years ago)

@pranjal upadhyay...i got these que frm my college thru email...

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

RAVI KIRAN  (11 years ago)

@ritu

is this the Question form new TCS pattern, Please give me the information yar

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

Debanu Das  (11 years ago)

2:3 per of triangle1= 3*(2r/root(3)) per of triangle2= 3*root(3)

Is this solution Helpfull? Yes (1) | No (5)  

Lovejeet Singh  (11 years ago)

Plzz give the Explanation Guys...!!
and Exactly what Ratio is asked in Question ?

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

Ankur Lakhani  (11 years ago)

plz give the explanation.

Is this solution Helpfull? Yes (1) | No   

Pranjal Upadhyay  (11 years ago)

hey i agreee the answer is 2:3...hey ritu where did u get this question from....????

Is this solution Helpfull? Yes (1) | No   

aanchal sharma  (11 years ago)

please explain this answer completely...

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ritu singh  (11 years ago)

@ravi kiran
no it is from some old tcs paper...probably frm last year

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