tag:blogger.com,1999:blog-6933544261975483399.post294731773552865707..comments2024-03-26T19:10:02.918-07:00Comments on Go Geometry (Problem Solutions): Geometry Problem 1366: Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps.Antonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-6933544261975483399.post-16648348137931526692018-07-22T20:20:22.519-07:002018-07-22T20:20:22.519-07:00testtestAntonio Gutierrezhttps://www.blogger.com/profile/04521650748152459860noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-73097650398421289922018-07-21T14:14:43.250-07:002018-07-21T14:14:43.250-07:00Is A,B,C,H,D=concyclic.
Is A,B,C,H,D=concyclic.<br />APOSTOLIS MANOLOUDIShttps://www.blogger.com/profile/15561495997090211148noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-13278147830769168932018-07-17T22:18:21.232-07:002018-07-17T22:18:21.232-07:00https://photos.app.goo.gl/perU7VCwHMwg3bCF8
Conne...https://photos.app.goo.gl/perU7VCwHMwg3bCF8<br /><br />Connect BD and draw altitude BK of triangle ABG<br />Triangle BGF congruent to BCF ( case ASA)<br />So BG=BC=BA<br />In isosceles triangle ABG, AK is altitude and an angle bisector<br />So ∠ (KBH)=1/2. ∠ (ABC)= 45 degrees => ∠ (BHK)= 45<br />Since ∠ (BDA)= ∠ (BHA)= 45 => B, H, D, A are cocyclic with AD as a diameter<br />So A,B,C,H,D are cocyclic <br />Peter Tranhttps://www.blogger.com/profile/02320555389429344028noreply@blogger.comtag:blogger.com,1999:blog-6933544261975483399.post-47582524614231921312018-07-17T20:23:19.071-07:002018-07-17T20:23:19.071-07:00This follows very easily from my problem 1363 sinc...This follows very easily from my problem 1363 since < AHB = < ADB = 45<br /><br />Sumith Peiris<br />Moratuwa<br />Sri LankaSumith Peirishttps://www.blogger.com/profile/06211995240466447227noreply@blogger.com