An amazing geometry problem | Geometry | 69

In this video, we solve a nice geometry problem. At the end of the video, an exercise is included for viewers to try on their own. Check out this playlist which is a collection of geometry problems. https://www.youtube.com/playlist?list=PLo-BFz0Qjdz092Su4E09KKpTaux8fTIar Timecodes 0:00 - Description of the problem 0:31 - Using the angle sum theorem to show that ∠CAB = 45° 0:49 - Using the exterior angle theorem to show that ∠CAD = x 1:10 - Constructing an isosceles triangle DCP and using the property that its sides are equal to show that PD = DC 1:35 - Using the exterior angle theorem to show that ∠ADP = x, thus showing that triangle ADP is isosceles and then concluding that AP = PD 1:56 - Constructing triangle BCP and using the fact that triangle BDP is isosceles and the angle sum theorem to show that ∠CPB = 90° and then concluding that ∠BPA is a right angle too 2:40 - Using the angle sum theorem to show that triangle ABP is isosceles and using the property that its sides are equal to show that BP = AP 3:08 - Using the property that an interior angle of an equilateral triangle is 60° to show that x = 15° 3:35 - An exercise for viewers to try If you've enjoy this video, please like and subscribe for more content. Fundamental properties of circles Fundamental properties of triangles Relation between lines and circles Problem solving strategies Math olympiad preparation Math tricks #maths #education #mathematics #mathematicseducation #matholympiad #matholympiadtraining #geometry #problemsolving #mathstricks #geometrymath #howtosolvemathproblem #circle #triangle