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.
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9 comments:
d
D
b
d
review ur ans ppl..Its b....
ans: d
if it is b can u explain plllllzz abhishek
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..
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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