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problems 40..49
problems 60..69
50.
![](../geo54/fig4a.jpg)
calculate ratio | ![](../geo54/fig3b.jpg) |
![](pictures/solution.jpg)
51.
Calculate the ratio of the blue and red areas:
![](../geo55/fig1.jpg)
![](pictures/solution.jpg)
52.
Prove that the colored areas are equal:
![](../geo56/fig1.jpg)
![](pictures/solution.jpg)
53.
Calculate the area of square ABCD.
![](../geo57/fig1.jpg)
![](pictures/solution.jpg)
54.
Calculate the area of the colored triangle.
![](../geo58/fig1.jpg)
![](pictures/solution.jpg)
55.
In triangle ABC the two medians are perpendicular.
Calculate the length of side X.
![](../geo59/fig1.jpg)
![](pictures/solution.jpg)
56.
Calculate angle x.
![](../geo60/fig1.jpg)
![](pictures/solution.jpg)
57.
![](../geo61/fig1.jpg)
![](pictures/solution.jpg)
58.
![](../geo62/fig1.jpg)
The colored rectangles are the same.
a.
Calculate angle α
The area of a colored rectangle is 10.
b.
Calculate the area of the big rectangle.
![](pictures/solution.jpg)
59.
Given is rectangle ABCD and a circle through point C contacting sides AB and AD.
![](../geo63/fig1.jpg)
Question: find f(x) = area ABCD.
![](pictures/solution.jpg)
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