з-4 Японська геометрична головоломка #математика #геометрія #задачка#головоломка#подібнітрикутники

This beautiful Japanese geometry problem confuses 90% of people who try to solve it using intuition! The condition sounds very simple: three equilateral triangles stand on one straight line, and their upper vertices are sandwiched by another straight line. The area of ​​the left triangle is 4, and the right one is 9. What is the area of ​​the middle triangle sandwiched between them? Most people immediately try to find the arithmetic mean and get the answer 6.5. But mathematics works differently! We will prove step by step, without complex formulas and clearly, why the correct answer is 6, and how the similarity of triangles works here. #problemabouttriangles #japanesegeometry #sangaku #mathematics #geometry #puzzle #interestingmathematics #trapforintuition #similarityoftriangles #nmtmathematics #scienceinukrainian #education #mathematicsinukrainian #channelolenypogasiy