Geo problems (50..59) problems 40..49 problems 60..69 50. calculate ratio 51. Calculate the ratio of the blue and red areas: 52. Prove that the colored areas are equal: 53. Calculate the area of square ABCD. 54. Calculate the area of the colored triangle. 55. In triangle ABC the two medians are perpendicular. Calculate the length of side X. 56. Calculate angle x. 57. 58. 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. 59. Given is rectangle ABCD and a circle through point C contacting sides AB and AD. Question: find f(x) = area ABCD.