Question

what sorts of figures are possible from the intersection of three half planes? four? five?

what sorts of figures are possible from the intersection of three half planes? four? five?

Homework Answers

Answer #1

Ans:

Half plane is plane which contains all the points to one side of the straight line ano point on other side of the line as shown below

Now with the intersection of such three half planes following figure (triangle) is possible

With the intersection of Four half planes following figures are possible

With the intersection of five half planes following figures are possible

In all above cases Quadrilateral contains all sort of 4 sided figures (rectangles, square, parallelogram etc) which is also tru in case of triangles and pentagons

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