tag:blogger.com,1999:blog-6933544261975483399.post3372080659686257312..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1309 Triangle, Circle, Inradius, Excircle, Tangent, Exradius, MeasurementAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-6933544261975483399.post-72119890411574375282017-04-12T07:11:12.037-07:002017-04-12T07:11:12.037-07:00You can also calculate AC. Just for the fun.
That ...You can also calculate AC. Just for the fun.<br />That gives AC = 1099/41Henkiehttps://www.blogger.com/profile/04279523252566471532noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-16790805041129954672017-01-21T23:38:36.731-08:002017-01-21T23:38:36.731-08:00If U,V,W are the tangency points of BC, CA, AB res...If U,V,W are the tangency points of BC, CA, AB respectively of the in circle, <br /><br />Then WD = VE = BC = 18.<br /><br />So easily VC = 11<br />Hence from similar right triangles O1VC and O2CE <br /><br />6/11 = 7/x and so x = 77/6<br /><br />Sumith Peiris<br />Moratuwa<br />Sri Lanka<br />Sumith Peirishttps://www.blogger.com/profile/06211995240466447227noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-14516170792166275422017-01-21T17:35:12.674-08:002017-01-21T17:35:12.674-08:00https://goo.gl/photos/gUJk9ftBfbk8pmpQ9
Define po...https://goo.gl/photos/gUJk9ftBfbk8pmpQ9<br /><br />Define points I, F, G, H and M as per sketch<br />We have CG=CE=BF= 7 and BG=CF=CH=11<br />We also have IC⊥CM<br />Triangle IHC simillar to CEM ( case AA)<br />So IH/CH= CE/ME => 6/11=7/x<br />So x= 77/6<br />Peter Tranhttps://www.blogger.com/profile/02320555389429344028noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-45735936024909193752017-01-21T12:05:28.831-08:002017-01-21T12:05:28.831-08:00P, P' tg points ( on AC, BC). Join O2 to C
Fro...P, P' tg points ( on AC, BC). Join O2 to C<br />From AD=AE, PC=P'C, we get PC=11<br />Right tr O1PP'~tr O2CE => 6/11=7/x => x=77/6c.t.e.o.https://www.blogger.com/profile/16937400830387715195noreply@blogger.com