2024 MATHCOUNTS National Target Competition: Disguised Similar Triangle & Shortest Path on a Cone

Welcome to our latest video on the 2024 MATHCOUNTS National Competition! In this video, we dive into two challenging and exciting geometry problems that will test your problem-solving skills and deepen your understanding of geometric concepts.

Problem 1: Disguised Similar Triangle
In the first part of the video, we explore a problem involving similar triangles that aren't immediately obvious. By adding an auxiliary line, we reveal the hidden similarity and solve the problem step-by-step. This is a great exercise in visualizing and manipulating geometric figures to uncover underlying relationships.

Problem 2: Shortest Path on a Cone
The second problem tackles finding the shortest path on a cone. We'll unfold the cone to its net and use this transformation to determine the shortest path between two points on its surface. This problem combines spatial reasoning with a practical application of geometry, offering a unique perspective on how to solve complex geometric challenges.

Join us as we break down these problems, offering detailed explanations and strategies to help you master similar questions in your own math competitions. Don't forget to like, comment, and subscribe for more math tutorials and competition tips!

Chapters:
0:00 - Disguised Similar Triangles
3:41 - Shortest Path on a Cone


Resources:
Proof of Surface Area Formula of a Cone    • Proof of Surface Area Formula of a Cone  
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