What is the value of n?

Question

3146 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-25T06:02:09

#n=6#

When two chords of a circle intersect each other,

Product of the segments of one chord is equal to the product of the segments of the other chord.

[For detailed proof refer here.](http://www.cut-the-knot.org/proofs/IntersectingChordsTheorem.shtml)

Hence #7(n+4)=5(n+8)#

or #7n+28=5n+40#

or #7n-5n=40-28#

or #2n=12#

That is(i.e.) #n=12/2=6#