🎓פתרון בגרות 571 קיץ 2026 מועד ב שאלה 5-טריגונומטריה.

📌What's in the video: In this video, we will solve question number 5 from the Summer 2026 Matriculation Exam, Question 35571 (Monday). The question deals with plane geometry and trigonometry, and combines an isosceles triangle, constructing trigonometric equations, and using identities. We will learn how to express segments using parameters, use the trigonometric triangle area formula to find an angle, and see two different ways to approach the solution - including using the ratio of areas of similar triangles. Later, we will use the sines theorem [cite: 146] and the Pythagorean theorem to find the value of the parameter k, while combining properties of the circumcircle of a triangle. 📌 Link to the question in the video: https://www.mode53.com/exam/%D7%91%D7... 💡Our practice site: https://www.mode53.com/ 💬 Join our community on Discord - for questions, answers and guidance: 🔗   / discord   🌐 Our website: https://kibinimatika.org 🔗 For all our study groups and community: https://kibinimatika.org/groop 📚Our groups on Telegram: https://t.me/ovadgroups 🔥Oved Lev's update channel Ari: https://whatsapp.com/channel/0029VbAD... 🧮Link to the playlist:    • בגרות 571 קיץ 2026 מועד ב   Like, comment and subscribe to the channel help the content reach more students! Click the bell 🔔 to stay updated on every new video! Time distribution: 00:00 - Reading the question, drawing and labeling the data (isosceles triangle and side ratios) 01:31 - Identifying similar triangles and determining the similarity ratio 02:01 - Section A: Expressing the segments DE and ME using k and alpha 03:54 - Section B: Constructing an area equation to find the angle alpha 05:09 - Using a trigonometric identity and simplifying the equation 06:55 - Converting the equation to a double angle (sin(2*alpha)) 07:42 - Solving the equation, finding alpha and explaining obtuse/acute angles in a triangle 09:37 - Alternative solution to Section B using the area ratio of similar triangles 11:25 - Section C: Using the radius of the circle that encloses triangle AED 12:08 - Inferring from a 90-degree circumscribed angle and finding a diameter The Circle 13:16 - Using the Law of Sines to Find Side AC in the Large Triangle 15:00 - Calculating the Length of the Segment AD 15:43 - Using the Pythagorean Theorem in the Triangle AED to Find the Parameter k and End the Exercise #Matriculation_in_Mathematics #5_Units #Questionnaire_35571 #Trigonometry #Geometry #Matriculation_Solution #Summer_2026 #LearningMathematics#High School#Students#WorkingWithBarry