A Pentagon, Three Right Angles, One Surprise! #HMMT #jeeadvanced
Welcome to **PYMT 25 (Pondering Your Mathematical Thoughts)**. Today's problem comes from *HMMT February 2026* and hides a surprisingly elegant geometric structure beneath what first appears to be a complicated pentagon. We are given a convex pentagon HORSE with several right angles, two 135° angles, and only three side lengths. The challenge is deceptively simple: Can you determine its area? At first glance, coordinate geometry seems tempting. Trigonometry appears unavoidable. Yet there is a beautiful path hidden inside the figure that transforms the problem into something much more elegant. In this video, we carefully explore the geometry, uncover the key insight, and arrive at the surprisingly neat answer of **191**. Whether you enjoy mathematical problem solving, contest geometry, or simply appreciate elegant ideas, I hope you'll enjoy this journey. 📌 Problem Source: HMMT (Harvard-MIT Mathematics Tournament), February 2026 https://hmmt-archive.s3.amazonaws.com... If you enjoy thoughtful mathematics, consider subscribing and joining us for future episodes of PYMT. #Math #Geometry #Trigonometry #HMMT #OlympiadMath #ContestMath #ProblemSolving #PYMT #Mathematics #StayMathactive
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