tag:blogger.com,1999:blog-6933544261975483399.post1807779604729590745..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Problem 889: Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, InradiusAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6933544261975483399.post-78381562633397017132013-06-16T01:40:04.034-07:002013-06-16T01:40:04.034-07:00The last step follows from
r (cotB/2 + cotC/2) =...The last step follows from <br /><br />r (cotB/2 + cotC/2) = a = 2R sinA = 4R sinA/2 cosA/2<br />r = 4R sinA/2 sinB/2 sinC/2Jacob HA (EMK2000)https://www.blogger.com/profile/17238561555526381028noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-46633521518154841932013-06-15T19:28:45.199-07:002013-06-15T19:28:45.199-07:00OA1 + OB1 + OC1
= R (cosA + cosB + cosC)
= R (1 + ...OA1 + OB1 + OC1<br />= R (cosA + cosB + cosC)<br />= R (1 + 4 sinA/2 sinB/2 sinC/2)<br />= R + 4R sinA/2 sinB/2 sinC/2<br />= R + rJacob HA (EMK2000)https://www.blogger.com/profile/17238561555526381028noreply@blogger.com