Math, asked by rajrishav4797, 1 year ago

number of intersections of diagonals in a polygon

Answers

Answered by AR17
1
The number of intersection of diagonals of polygon of even number of sides is 1. The polygon may be regular or irregular but if it has even number of sides then the intersection point of the diagonals is 1.

QGP: Considering that, total number of points of intersections of diagonals of a pentagon is 10
QGP: It's still not '1'
AR17: no the vertices are not considered as intersection points of all diagonals
QGP: Do you mean that all diagonals intersect at a common point?
AR17: yeah....and for a polygon if it has even number of sides then it is 1
QGP: In that case, your result is correct.
QGP: But, the questioner hasn't mentioned that you need to consider only the common intersection point of all the diagonals
AR17: i have no idea about odd sided polygon ....sorry..... :-(
AR17: intersection means the common ones only...
QGP: Okay.. no problem. I will see if I can get a general formula
Answered by QGP
0
Hello Friend,

Here I have derived the general formula for number of intersection points of an n-sided polygon.

I have given am explanation of the derivation.

If you have any doubts, feel free to ask for clarification.


Hope it helps.

Purva
@Purvaparmar1405
Brainly.in
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