SOLUTION: Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as shown. What is the

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Question 1120824: Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as shown. What is the ratio of the area of the inscribed square to the area of the large square?
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Each side of the large square in the figure is trisected (divided into three equal parts).
The corners of an inscribed square are at these trisection points, as shown. What is the ratio of the area of the inscribed square to the area of the large square?
:
Assume the side of the large square is 3, therefore the Area = 9
Using the right triangles formed in the corners we can find the side of the small square which is the hypotenuse
h = sqrt%282%5E2%2B1%5E2%29
h = sqrt%285%29 is the side of the small square
Find the area of the small square
a = %28sqrt%285%29%29%5E2
a = 5
:
the ratios of the areas: 5:9