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

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(#M40155149) BOOK Numerical Ability question circle and triangle Keep an EYE

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

Asked In Book Neelima Kongathi (8 years ago)

Solved anjali gupta Read Solution (4)

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Read Solution (4) :

anjali gupta  (8 years ago)

Answer is 2/3

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anjali gupta  (8 years ago) Best Solution

Let side of first equilateral triangle be a
Perimeter , P1= 3a
height of equilateral triangle = h= a*(sqrt3)/2
h= r , where r is radius of circle
each side of isosceles triangle inscribed in this circle has side = sqrt3*r
Perimeter, P2 = 3* sqrt3 *r= (3*sqrt3* a * sqrt 3 ) / 2 = 9a
Ratio P1: P2 = 2/3 :)

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anjali gupta  (8 years ago)

check this link for image reference---> http://postimg.org/image/72kyp7cb3/

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Neelima Kongathi  (8 years ago)

thank you anjali.........:-)

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