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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 ?
Read Solution (Total 12)
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- 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 - 12 years agoHelpfull: Yes(41) No(3)
- 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 - 12 years agoHelpfull: Yes(16) No(4)
- ans= 1:sqrt(3)
- 12 years agoHelpfull: Yes(6) No(9)
- ratio=1:sqrt(3)
- 12 years agoHelpfull: Yes(2) No(7)
- @pranjal upadhyay...i got these que frm my college thru email...
- 12 years agoHelpfull: Yes(2) No(1)
- @ritu
is this the Question form new TCS pattern, Please give me the information yar - 12 years agoHelpfull: Yes(2) No(1)
- 2:3 per of triangle1= 3*(2r/root(3)) per of triangle2= 3*root(3)
- 12 years agoHelpfull: Yes(1) No(5)
- Plzz give the Explanation Guys...!!
and Exactly what Ratio is asked in Question ? - 12 years agoHelpfull: Yes(1) No(1)
- plz give the explanation.
- 12 years agoHelpfull: Yes(1) No(0)
- hey i agreee the answer is 2:3...hey ritu where did u get this question from....????
- 12 years agoHelpfull: Yes(1) No(0)
- please explain this answer completely...
- 12 years agoHelpfull: Yes(1) No(0)
- @ravi kiran
no it is from some old tcs paper...probably frm last year - 12 years agoHelpfull: Yes(1) No(0)
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