millopezle wrote:
Could you please explain how did you get the calculated height of the equilateral triangle in statement 2?
Thanks
hi
millopezleIs the length of a side of equilateral triangle E less than the length of a side of square F?
(1) The perimeter of E and the perimeter of F are equal.
(2) The ratio of the height of triangle E to the diagonal of square F is 2√3 : 3√2
since you are asking specific question about statement 2..
it is giving us the ratio of height of triangle E to the diagonal of square F as 2√3 : 3√2...
since its a ratio ,we can multiply both by x, although we dont require that because final answer is also a ratio...
from height of triangle , we can get its side by formula.. h=side1*√3/2...
from diagonal of square we can get side by formula... diagonal=√2*side2
what you require is side1/side2= 2h/√3*dia/√2=2/√6*h/dia=2/√6*2√3/3√2=2/3...
so we have the ratio as 2/3..
so we can say side of square >side of tri... sufficient
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