1 and √ 10 can be regarded as the hypotenuses of right-angled triangles with right angles of 3 and 1 respectively.

2. According to the Pythagorean theorem of triangles, we can know that the relationship between the three sides of a right triangle is A? +b？ =c？ (a/b is the right-angled side and C is the hypotenuse).

3. The hypotenuse of a right triangle with right angles of 3 and 1 respectively =√(3? + 1? )=√ 10。

Extended data:

1. The proof of Pythagorean theorem is the beginning of proving geometry.

2. Pythagorean theorem is the first theorem in history that connects numbers with shapes, that is, the first theorem that connects geometry with algebra;

3. Pythagorean theorem led to the discovery of irrational numbers and the first mathematical crisis, which greatly deepened people's understanding of logarithms;

4. Pythagorean theorem is the first indefinite equation in history to give a complete solution, which leads to Fermat's last theorem;

5. Pythagorean theorem is the basic theorem of Euclidean geometry and has great practical value. This theorem is not only a dazzling pearl in geometry, but also widely used in advanced mathematics and other scientific fields.

1971May 15, Nicaragua issued a set of stamps entitled "Ten Mathematical Formulas for Changing the World". These ten mathematical formulas are all selected by famous mathematicians, and Pythagorean theorem is the first one.