The famous hypotenuse right-angled edge theorem is that hypotenuse and a right-angled edge correspond to the congruence of two right-angled triangles. This theorem is abbreviated as hypotenuse, right angle edge or HL. Where, H is the abbreviation of hypotenuse and L is the abbreviation of leg right angle. HL theorem is to prove the congruence of two right-angled triangles by proving that the right-angled side and the hypotenuse are equal.
The hypotenuse right-angled edge theorem, also known as Pythagorean theorem, is a very important mathematical theorem. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of two right angles. This theorem can be proved by geometric drawing or algebraic method.
One of the geometric drawing methods is to transform two right-angled sides of a right-angled triangle into two adjacent sides of a square, and then calculate the diagonal length of the square. Proof of algebraic method with plane rectangular coordinate system. The hypotenuse right-angled edge theorem is widely used, especially in solving triangle problems.
The hypotenuse right-angled edge theorem can also be used to judge whether a triangle is a right-angled triangle. A triangle is a right triangle if the lengths of its three sides satisfy the hypotenuse right angle theorem.
The benefits of learning mathematics:
1 helps us to understand the world better: mathematics is the language to describe and explain the world. By studying mathematics, we can better understand natural phenomena, scientific principles and social phenomena.
2. Cultivate logical thinking ability: Mathematics is a kind of logical thinking training. By studying mathematics, we can cultivate the ability of logical thinking and improve the ability of analyzing and solving problems.
3. Enhance computing ability: Mathematics is a kind of computing training. By studying mathematics, we can improve our computing ability and better meet the computing needs in daily life and work.
4. Cultivate creativity: Mathematics is a creative subject. By studying mathematics, we can cultivate creativity, discover new mathematical laws and solve problems.