### Homework_1

[Arithmetics, Graphics Objects]

Write a graphics program that prompts the user to enter graphics objects using the mouse or/and the keyboard. Make the calculations, output the results and draw the graphics objects. Your program must be tested with an example given after every task.

The number of your particular task is the value of the expression faculty_number%25.

0. Enter a triangle and calculate its area.
(2, 3); (5, 2.5); (1, -1)

1. Enter a convex quadrilateral with vertexes in different quadrants and calculate its area.
(2, 3); (-5, 2.5); (-1,-1); (2, 3.5)

2. Enter a triangle and calculate its perimeter.
(-2,3); (5,4); (1,0)

3. Enter a triangle and calculate the radius of its circumscribed circle.
(2,2.1); (-3,2.5); (0,0)

4. Enter a triangle and calculate the radius of its inscribed circle.
(2,2.1); (-3,2.5); (0,0)

5. Enter a triangle and determine the type of the triangle - acute-angled,  obtuse-angled or right-angled.
(0,0); (25,0); (0,50)

6. Enter a triangle and calculate of the bisector length of its maximal angle.
(3,1); (-1,2.5); (0,0.5)

7. Enter a triangle and calculate the sine of its maximal angle.
(-2.0,4.0); (-3.0,2.5); (0.0,2.0)

8. Enter  a triangle and calculate the cosine of its minimal angle.
(-2.0,4.0); (-3.0,2.5); (0.0,2.0)

9. Enter a triangle and calculate its perimeter and calculate its the minimal altitude.
(3,1); (-1,2.5); (0,0.5)

10. Enter a triangle and calculate its perimeter and calculate its minimal median.
(31,30); (-10,1); (0,55)

11. Enter a triangle and calculate the ratio of  its maximal and minimal sides.
(35,0); (-12,5); (0,0)

12. Enter four points and choose three of them which are vertexes of the triangle with the smallest area.
(3,1); (0,0); (2,2); (-1,0)

13. Enter a triangle and find a point placed inside it.
(3,4); (-3,2.5); (0,-4.2)

14. Enter a triangle and calculate the distance between its mass center (the center of gravity) and the origin of the coordinate system.
(3,0); (-1.5,2.5); (0,0)

15. Enter four points and find two of them with the maximal distance.
(30,10); (-10,0); (20,20); (-10,0)

16. Enter four points and calculate the length of the sum of segment lines, connecting these points successively.
(0,0), (0.12, 0.01),  (-0.19,0); (0.10,0.15)

17. Enter four points and calculate the sum of the lines length, connecting each two points.
(0,0), (0.12, 0.01),  (-0.19,0); (0.10,0.15)

18. Enter a segment line and check whether it intersects the coordinate axes.
(-3,4), (4,1)

19. Enter a circle and a segment line. Check whether the line lies into the circle.
(0.022,0.023), 0.1; (-0.01,0), (0,0)

20. Enter a circle and a segment line. Check whether the circle intersects the line at only one point.
(0.022,0.023), 0.1; (-0.01,0), (0,0)

21. Enter a circle and a point. Check whether the point lies into the circle.
(0.2,0.2), 1; (-0.1,0)

22. Enter a circle and a triangle. Check whether the triangle lies into the circle.
(0.2,0.2), 1; (-0.1,0); (0.01, 0.1); (0.1, -0.1)

23. Enter five points and find a circle containing all these points.
(3,1); (-1,0); (-2,2); (-1,2); (1,-1)

24. Enter two circles and determine whether they intersect or not.
(-2,4), 5; (-3,2), 6