Find the number of your Homework No.1 calculating the expression: faculty_number % 25

Enter the graphics objects using the mouse or/and the keyboard. Make
the
calculations and draw the graphics objects.

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 the bisector 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)

(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
medicenter 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 maximal distance.

(30,10); (-10,0); (20,20); (-10,0)

16. Enter four points and calculate the length of the segment line,
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