tag:blogger.com,1999:blog-6933544261975483399.post5261104827812700095..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Elearn Geometry Problem 225: Viviani Theorem ExtensionAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-82908056013935796812009-05-21T23:47:23.206-07:002009-05-21T23:47:23.206-07:00(1)let the no. of sides be n.
(2)let the length of...(1)let the no. of sides be n.<br />(2)let the length of each side be y.<br />(3)therefore the area of the given polygon is 1/2ap.y.n<br /> (4)from point P, we can do tringulations (on the sides)<br />(5)We note that sum of area of those triangls=area by 1/2 ap.y.n method =(h1+h2+h3+....+hn).y.1/2<br />(6)then, 1/2& y get cancelled & we get ap.n = h1+h2+h3+...+hn<br />(7)hence the proof!!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-88541724127118345822009-02-05T19:09:00.000-08:002009-02-05T19:09:00.000-08:00One can prove that, in a equiangled polygon, the s...One can prove that, in a equiangled polygon, the sum of the distances of an arbitrary inner point to the sides is constant =]Anonymoushttps://www.blogger.com/profile/15792265791145075853noreply@blogger.com