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Geometry problems (40..49) |
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problems 30..39 |
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problems 50..59 |
40.
Calculate the area of the square.
![](../geo47/fig1.jpg)
![](pictures/solution.jpg)
41.
See quadrilateral ABCD with given angles.
BC=DC.
Calculate angle x.
![](../geo48/fig1.jpg)
![](pictures/solution.jpg)
42.
Next picture consists of circle arcs.
Prove that the red and blue shaded areas are equal.
![](../geo49/fig1.jpg)
![](pictures/solution.jpg)
43.
Prove that in next picture: ![](../geo50/fig1.jpg)
![](../geo50/fig2.jpg)
![](pictures/solution.jpg)
44.
Find formula for the blue area.
![](../geo51/fig1.jpg)
![](pictures/solution.jpg)
45.
Calculate the area of quadrilateral ABCD.
![](../geo52/fig1.jpg)
![](pictures/solution.jpg)
46.
ABCD is a square.
Calculate length x of an edge.
![](../geo53/fig1.jpg)
![](pictures/solution.jpg)
47.
![](../geo54/fig1a.jpg)
prove that | ![](../geo54/fig1b.jpg) |
![](pictures/solution.jpg)
48.
![](../geo54/fig2a.jpg)
prove that | ![](../geo54/fig2b.jpg) |
![](pictures/solution.jpg)
49.
![](../geo54/fig3a.jpg)
calculate ratio | ![](../geo54/fig3b.jpg) |
![](pictures/solution.jpg)
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