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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
10 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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