Uploaded August 2026 | Updated September 2026, 2 weeks ago

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A square is placed inside a right-angled triangle exactly as shown.
The hypotenuse is 15 units.
Can you find the maximum possible area of the shaded square — and can you do it in just 5 seconds? 🔥
This question hides a beautiful geometry shortcut and an elegant proof involving similarity and the maximum-altitude condition.
Pause the video, try it yourself, and comment your answer before watching the explanation.
📌 Visual Maths Lab 009
📐 Topic: Geometry | Right Triangle | Similarity | Maximum Area
🎯 Useful for CAT, XAT, MBA Entrance Exams and mathematical aptitude
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