Geometry problems (40..49)


problems 30..39
problems 50..59


40.
Calculate the area of the square.





41.
See quadrilateral ABCD with given angles.
BC=DC.
Calculate angle x.





42.
Next picture consists of circle arcs.
Prove that the red and blue shaded areas are equal.





43.

Prove that in next picture:





44.
Find formula for the blue area.





45.
Calculate the area of quadrilateral ABCD.





46.
ABCD is a square.
Calculate length x of an edge.





47.



prove that



48.


prove that



49.



calculate ratio