1, directly use Pythagorean theorem to calculate the length of hypotenuse:
The formula of Pythagorean theorem is a? +b？ =c？ Where a and b are the lengths of right angles and c is the length of hypotenuse. It is known that the lengths of two right angles of a triangle are 3 and 4 respectively, and the length of the hypotenuse can be calculated as √3? +4? =5。
2. Calculate the length of hypotenuse with trigonometric function:
Given the acute angle of a triangle, the length of the hypotenuse c = 2 * tan (a/2)+0.866 * c.
3, using Helen formula to calculate the length of the hypotenuse:
Helen's formula is used to calculate the area of a triangle. The formula is s = √ {p * (p-a) * (p-b) * (p-c)}, where p is the half circumference and a, b and c are the lengths of three sides of the triangle. First, we need to find the lengths of the three sides of the triangle, then calculate the half circumference, and finally calculate the length of the hypotenuse by Helen formula.
4, using the Babylonian triangle to calculate the hypotenuse length:
Babylonian triangle is a right triangle, in which one acute angle is 36 degrees, the other acute angle is 54 degrees, and the length of the hypotenuse is C. We can use the formula c=sin(36)*c to calculate the length of the hypotenuse.
5. Calculate the length of the hypotenuse with ellipse circumference:
Ellipse circumference's formula is L=2π*(a+b)/√(a? +b？ ), where a and b are the lengths of the major axis and minor axis of an ellipse, and this formula can be used to calculate the length of the hypotenuse.
6, using sine theorem to calculate the length of hypotenuse:
The formula of sine theorem is a/sin(A)=b/sin(B)=c/sin9(C), where a, b and c are three internal angles of a triangle, and the length of the hypotenuse can be calculated by this formula.
In practical application, according to the specific needs and known conditions, the appropriate method is selected for calculation. Attention should be paid to the application scope and limitations of different methods to ensure the accuracy and feasibility of calculation.
Triangle principle
A triangle is a figure composed of three end-to-end line segments, which can be represented by the mathematical symbol ABC, where A, B and C are the three vertices of the triangle respectively. The basic attributes of a triangle include:
A triangle has three sides, three angles and three vertices. The sum of any two sides is greater than the third side, and the difference between any two sides is less than the third side. The sum of the three internal angles of a triangle is equal to 180 degrees. A triangle is stable, that is, its shape and size will not change after the length of three sides of the triangle is determined.
Stability of triangle
The stability of triangle is widely used in engineering and life. When the lengths of three sides of a triangle are determined, its shape and size will not change. . This stability makes the triangle superior in bearing load, transmitting force and keeping the balance of objects.