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Hypotenuse right angle edge theorem
The hypotenuse right-angled edge theorem is the congruence of two right-angled triangles with hypotenuse and a right-angled edge.

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.

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