Difference between revisions of "2007 iTest Problems/Problem 7"
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==Solution== | ==Solution== | ||
− | An equilateral triangle with side length 1 has an area of <math>\frac{(1)^2\sqrt{3}}{4}=\frac{\sqrt{3}}{4}</math>, and a square with that area has a side length of <math>\sqrt{\frac{\sqrt{3}}{4}}=\frac{\sqrt[4]{3}}{2} \Rightarrow \mathrm{(A)}</math> | + | An equilateral triangle with side length 1 has an area of <math>\frac{(1)^2\sqrt{3}}{4}=\frac{\sqrt{3}}{4}</math>, and a square with that area has a side length of <math>\sqrt{\frac{\sqrt{3}}{4}}=\frac{\sqrt[4]{3}}{2} \Rightarrow \mathrm{(A)}.</math> |
==See Also== | ==See Also== |
Latest revision as of 16:13, 19 December 2018
Problem
An equilateral triangle with side length has the same area as a square with side length . Find .
Solution
An equilateral triangle with side length 1 has an area of , and a square with that area has a side length of
See Also
2007 iTest (Problems) | ||
Preceded by: Problem 6 |
Followed by: Problem 8 | |
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