Find the Radius of a Circle with an Inscribed Isosceles Triangle

🔍 Can you find the radius of a circle when an isosceles triangle is inscribed inside it? This elegant geometry puzzle starts simple—but solving it reveals multiple layers of triangle geometry, circle theorems, and powerful problem-solving techniques. In this video, we break it down with 3 different methods—from basic to advanced: ⏱️ Timestamps 00:00 – Intro 00:14 – Puzzle Setup: Triangle Inside a Circle 01:05 – Method 1: Pythagorean Theorem 03:40 – Method 2: Using sin(A) and Circumradius Formula 06:22 – Method 3: General Triangle Circumradius Formula 08:40 – Bonus: Heron’s Formula 10:32 – Final Thoughts & Viewer Challenge 🧠 What You’ll Learn: How to find the radius of a circumcircle from triangle sides Why an isosceles triangle's height helps locate the circle’s center How different methods all lead to the same clean result When and why to use Heron’s Formula for triangle area 📌 Try solving it before watching the solution—and let us know your method in the comments! 👍 Like the video to support the channel 🔔 Subscribe for more deep-dive geometry puzzles from Prime Logic #geometry #mathpuzzle #circumcircle #triangles #matholympiad #primelogic 📤 Share: Spread the knowledge with fellow math lovers and challenge them to solve this puzzle! 🤝 Engage: Follow us on social media for extra content, behind-the-scenes insights, and updates on our latest math puzzles. 🔗 Useful Links: Subscribe to Prime Logic:    / @primelogic   🔗 More Olympiad Challenges Playlist:    • How to Find the Smallest Prime Factor of 7...   🔗 Connect on Social Media: 🐦 Twitter: https://x.com/PrimeLogics 📸 Instagram:   / primelogic