tag:blogger.com,1999:blog-6933544261975483399.post2829912600321675569..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1072: Triangle, Altitudes, Interior Point, Distance, RatioAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6933544261975483399.post-83984446886522719002015-01-02T18:37:02.088-08:002015-01-02T18:37:02.088-08:00Let S(ABC) be the area of ABC.
pa / ha = S(PBC) ...Let S(ABC) be the area of ABC. <br /><br />pa / ha = S(PBC) / S(ABC)<br />pb / hb = S(PAC) / S(ABC)<br />pc / hc = S(PAB) / S(ABC)<br /><br />Hence, <br />pa/ha + pb/hb + pc/hc = 1Jacob HA (EMK2000)https://www.blogger.com/profile/17238561555526381028noreply@blogger.com