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Join our telegram Channel: 👉👉👉 https://t.me/gebetayouracademy ልዩ ቅናሽ * ከታህሳስ 1 - ጥር 30, 2018 ብቻ የሚቆይ የ ፊዚክስ እና ሒሳብ Online ጥናት** There is a discount for Math and Physics Online one to one Tutoring. 📞 09-07-5151-27 | 📩 Telegram: @gebeta_academics 👉 Subscribe to Gebeta Academy for more interactive math tutorials and resources to excel in your studies. 👉 Join our telegram channerl: https://t.me/EduFilesGebetaAcademy #grade8maths #gebetaacademy #theoremsontriangle #sas #sss #asa #anglesumproperty #exteriorangles #phytagoras #euclids #theorems #triangles #grade8math #maths #learnmath 🔔 Don’t forget to like, comment, and share to help others succeed in their studies. Join our telegram channel and group: የገበታ አካዳሚ ቴሌግራም ግሮፕ (Telegram group):- https://t.me/gebetauracademy የ8ተኛ ክፍል ቴሌግራም ቻናል (Grade 8 Telegram Channel):- https://t.me/grade8gebetaacademy የ8ተኛ ክፍል ቴሌግራም ግሩፕ (Grade 8 Telegram Group):- https://t.me/+IQBT3up_5f83YjVk TikTok:- / gebeta.academy Step into the world of geometry and explore the fascinating concepts behind right-angled triangles with Euclid's Theorem and Its Converse! This lesson is part of Grade 8 Mathematics, Unit 5: Theorems on Triangles, and offers a clear and engaging explanation of these foundational geometric principles. Previos lecture for Unit 5: Lecture 1: • Grade 8 Maths | Unit 5 | Lecture 1: Tria... Lecture 2: • Grade 8 Maths | Unit 5: Lecture 2: Exterio... 💡 What You’ll Learn in This Video: Understanding the right-angled triangle, its components, and their relationships: The hypotenuse: the longest side, opposite the right angle. The legs: the two shorter sides forming the right angle. The altitude: a perpendicular segment from the right angle to the hypotenuse. Euclid’s Theorem: The square of a leg's length (a and b) equals the product of the hypotenuse (c) and the adjacent segment it divides (c2 and c1 respectively). Symbolically: a^2=c×c2 b^2=c×c1 Converse of Euclid’s Theorem: If the square of each shorter side equals the product of the hypotenuse and the adjacent segment, the triangle is a right-angled triangle. Proof and applications with examples. A historical glimpse into Euclid, the "Father of Geometry," and his timeless contributions to mathematics. 📊 Topics Covered: Right-angled triangles and their properties. Applications of Euclid’s Theorem in solving geometric problems. Step-by-step solutions to problems involving the theorem and its converse. 🎯 Why Watch This Video? Perfect for Grade 8 students following the Ethiopian curriculum and beyond. Teachers seeking clear, visual explanations of triangle theorems. Geometry enthusiasts exploring classic mathematical principles. ✅ Key Takeaways: The importance of the altitude in dividing the hypotenuse. How Euclid’s Theorem simplifies solving right-angled triangle problems. Real-world applications of these theorems in geometry. 📖 Historical Note: Learn about Euclid, the legendary mathematician from 365 B.C., whose Elements revolutionized geometry and continue to influence modern mathematics.