Скачать или смотреть Can You Find the Triangle’s Perimeter? | Geometry Puzzle

The perimeter of the square is 4, but what is the perimeter of the equilateral triangle?
This geometry problem looks simple—until you start connecting the pieces.

In this video, I use a pure geometry approach to crack the problem step by step. First, the given square perimeter immediately reveals the side length of the square. Then, by identifying the triangle as equilateral, all angles become fixed, unlocking key angle relationships.

The real trick appears when a right triangle with 30° and 60° angles emerges inside the figure. From there, a powerful geometric fact comes into play:
👉 In a 30-60-90 triangle, the side opposite 30° is half the hypotenuse.

Combining this insight with Pythagoras’ theorem, the unknown segment lengths fall neatly into place, leading directly to the exact perimeter of the equilateral triangle—no guesswork, no heavy algebra.

This is a great example of how angle chasing, special triangles, and clean reasoning can solve what first looks like a messy problem.

Try solving it yourself before watching the full explanation—you’ll learn a beautiful geometry trick along the way ✨

#Geometry #MathSpark #TrianglePerimeter #EquilateralTriangle #SquareGeometry
#MathPuzzle #30_60_90Triangle #PythagoreanTheorem #VisualMath
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