Inscribed Angles on a Diameter
Read this topicExplanations 3
- As you may know, the measure of an inscribed angle is half the measure of the arc. A diameter crosses a 180º180º180º arc, so what is the measure of the inscribed angle on the di…
By Freya Edholm
- Read Lockhart's Lament, pages 20 to 22. It gives a charming nonstandard proof of the fact that inscribed angles on a diameter are right angles. (The whole article is really good…
By Victor Wang, Moor Xu
- মনে করি আমাদের কাছে একটা বৃত্ত আছে এবং ABABAB ওই বৃত্তের একটা ব্যাস। ABABAB ব্যাস বৃত্তটিকে দুটি সমান অংশে বিভক্ত করে। এদেরকে অর্ধবৃত্ত বলে। অর্ধবৃত্তস্থ যেকোনো কোণের মান এক সমক…
By Tanmoy Kumar Sarkar · বাংলা
Problems 4
- Quadrilateral ABCDABCDABCD is inscribed in a circle. Also, ∠DAB=90∘\angle DAB = 90^\circ∠DAB=90∘, and AB=15AB = 15AB=15, BC=7BC = 7BC=7, and CD=24CD = 24CD=24. Find the length o…
- Congruent circles Γ1\Gamma_1Γ1 and Γ2\Gamma_2Γ2 have radius 2012,2012,2012, and the center of Γ1\Gamma_1Γ1 lies on Γ2.\Gamma_2.Γ2. Suppose that Γ1\Gamma_1Γ1 and Γ2\Gamma_2Γ…
- In triangle ABCABCABC let DDD be the foot of the altitude from AAA. Suppose that AD=4AD = 4AD=4, BD=3BD = 3BD=3, CD=2CD = 2CD=2, and ABABAB is extended past BBB to a point EEE s…
- A,B,CA,B,CA,B,C are points in the plane such that ∠ABC=90∘\angle ABC=90^\circ∠ABC=90∘. Circles with diameters BABABA and BCBCBC meet at DDD. If BA=20BA=20BA=20 and BC=21BC=21BC=…