1957 AHSME Problems/Problem 7
Problem 7
The area of a circle inscribed in an equilateral triangle is . The perimeter of this triangle is:
Solution
We can see that the radius of the circle is
. We know that the radius is
of each median line of the triangle; each median line is therefore
. Since the median line completes a
-
-
triangle, we can conclude that one of the sides of the triangle is
. Triple the side length and we get our answer,
.
See Also
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