Wednesday, April 11, 2007

"GEOMETRY QUESION OF THE DAY"

A square and a equilateral triangle have the same area.Which is greater?
Column A
perimeter of the square
Column B
perimeter of the triangle
A) if the quantity in column A is greater.
B) if the quantity in column B is greater.
C) if the quantities are equal.
D) if the relationship cannot be determined from the information given.

9 comments:

  1. if it is b can u explain plllllzz abhishek

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  2. should be B indeed.
    Let each side of the triangle be a, and that of square be b.

    sqrt3/4 * sqr(a) = sqr(b)
    get a relationship for a in terms of b.

    now perimeter triangle is 3a and that of square is 4b.

    3a = 4.45 times b, clearly greater than 4b ie. the perimeter of square.

    encountered the fourth root of 3 en route. Wonder how am I supposed to know that.used the calculator :p
    does it have to be D incase such a question arises.
    Any ideas, anyone..

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  3. got to be B. just realised, that fourth root of 3 can be figured out in mind. All we need to do is that check if the fourth root is greater than 1 or not. sqrt is 1.73
    1.1*1.1= 1.21
    so sqrt 1.73 has to be greater than 1.1 and 3a greater than 4b anyhow.
    I hope am clear.

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