tag:blogger.com,1999:blog-6933544261975483399.post3402525884163510038..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Problem 253: Triangle, Centroid, Vertices, Distances, SquaresAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-47986755398823187312009-04-14T01:59:00.000-07:002009-04-14T01:59:00.000-07:00Just to complete the earlier comment:
c^2+a^2-b^2...Just to complete the earlier comment: <br />c^2+a^2-b^2/2=2*9/4*d(b)^2<br />b^2+c^2-a^2/2=2*9/4*d(a)^2<br />b^2+a^2-c^2/2=2*9/4*d(c)^2<br />Adding the three, <br />(3/2)(a^2+b^2+c^2)=(9/2)(d(a)^2+d(b)^2+d(c)^2)<br />or (a^2+b^2+c^2)=(3)(d(a)^2+d(b)^2+d(c)^2<br />Ajit: ajitathle@mail.comAjithttps://www.blogger.com/profile/00611759721780927573noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-52176672095115488562009-02-23T10:36:00.000-08:002009-02-23T10:36:00.000-08:00da=2ma/3; db=2mb/3; dc=2mc/3 and the mediane's the...da=2ma/3; db=2mb/3; dc=2mc/3 and the mediane's theorem for ma, mb, mc.macsim gabriel florinhttps://www.blogger.com/profile/08034437321820989899noreply@blogger.com