Discover two powerful methods to solve one of geometry’s most beautiful problems: finding the area of a square inscribed inside a right triangle. In this step-by-step tutorial, we explore both an intuitive trigonometric approach and a genius shortcut formula that’s tailor-made for this specific triangle setup. This classic math puzzle is not only challenging but also full of elegant geometry tricks that every student and enthusiast should know!
🎯 In This Video:
0:00 Intro – Welcome to Prime Logic!
0:22 Problem Setup – Right Triangle + Inscribed Square
0:55 Step-by-Step Geometry Method
3:40 Using Similar Triangles and Trigonometry
7:12 Finding the Length of the Square’s Side
9:00 Genius Formula for Right Triangles with an Inscribed Square
11:05 Final Answer & Intuition
12:20 Your Turn – Share Your Approach in the Comments!
📚 Topics Covered:
Trigonometry in Geometry
Similar Triangles
Area of Inscribed Shapes
SAT/GMAT Geometry Level Problem Solving
Elegant Math Shortcuts & Derivations
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👇 COMMENT BELOW:
How did you solve it? Did you try the fast method, the trigonometric one, or something else? I’d love to see your approach!
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