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There are 8 line segments of lengtH(in cm) 1,2,3...8.How many quads can be made with these line segments if circles can be inscribed in the quadrilaterals made?

There are 8 line segments of lengtH(in cm) 1,2,3...8.How many quads can be made with these line segments if circles can be inscribed in the quadrilaterals made?

Grade:11

1 Answers

sudhir pal
askIITians Faculty 26 Points
7 years ago
in this problem we have chosen different possible sum of opposite side of quad and no of ways we can select these sides to form required quad. only 9 different sum of opposite side is possible with given length of lines.
ans: 22
I'm attaching pic of the solution
Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi
153-2475_Photo1731.jpg

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