Exploring the beauty of mathematics: the mystery of squares and right triangles?

Mathematics is a subject full of surprises and mysteries. This paper will take you to explore the mysteries of squares and right triangles, as well as the common and important overall thinking in mathematical thought.

The magical characteristics of the square

The side length of a square ABCD is a, which has a magical property: A 2 = 3/4. This property is very common in mathematics, and it is also a reflection of holistic thinking.

Area formula of right triangle

There are four right triangles hidden in the square ABCD, and their areas can all be represented by a, specifically, their areas are1/9a 2 respectively. This area formula is also very common in mathematics.

The area of EFGH square

The area of EFGH square is equal to the area of big square minus the area of four right triangles. Through calculation, we can get that the area of square EFGH is 5/9a 2. This calculation method also embodies the idea of holistic thinking.

Holistic thinking in mathematical thinking

The idea of doing A 2 as a whole is very common and important in mathematics. This kind of thinking can help us better understand and solve problems, and it is also a reflection of mathematical thinking.

The beauty of mathematics

Mathematics is a subject full of surprises and mysteries. Exploring the mysteries of squares and right triangles can not only help us better understand mathematics, but also help us better appreciate the beauty of mathematics.