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Solve This Geometry Puzzle in Just 5 Seconds!

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Chapter 1: The Challenge

Can you crack this simple geometry puzzle in under five seconds? It’s an intriguing problem that can be solved if you have a solid understanding of triangles.

Triangle geometry puzzle illustration

M and N represent the midpoints. The formula for the area of a triangle is given by 1/2(b)(h), where 'b' stands for the base and 'h' denotes the height. This indicates that a triangle can possess the same area while taking on various shapes.

This straightforward yet thought-provoking riddle can be solved in less than five seconds, provided you are well-versed in triangular properties. Here’s a clue: manipulate the shapes, keeping in mind that M and N are the midpoints.

I suggest you pause here, grab some paper and a pen, and attempt to solve it. Once you're ready, continue for the solution!

Section 1.1: Finding the Solution

If you haven’t figured it out yet, M and N are the midpoints of the rectangle's sides. Let’s delve into the solution with the following diagram.

Diagram illustrating the solution process

All the blue triangles are positioned above the line MN. It's evident that the area of the triangles is half that of rectangle LKMN. Additionally, rectangle LKMN constitutes half of the total rectangle's area. Therefore, half of half is (1/2)(1/2) = 1/4.

And there you have it! Did you manage to solve it in five seconds?

Final solution illustration

How impressive! What was your reasoning behind your answer? Please share your thoughts in the comments; I’d love to hear from you!

Chapter 2: Dive Deeper

Explore how to actually solve a Rubik's Cube in just 5 seconds! This video breaks down the steps to mastering this classic puzzle quickly.

Learn an easy method to solve a Rubik's Cube in only 5 seconds! This tutorial will guide you through the process step-by-step.

Math Puzzles

Discover the finest math puzzles featured on Medium, including topics such as Algebra, Geometry, Calculus, Number Theory, and more. Feel free to share this with your friends!

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