right triangle

简明释义

直角三角形

英英释义

例句

1.To find the length of the hypotenuse, you can use the Pythagorean theorem in a right triangle 直角三角形.

要找到斜边的长度，可以在一个直角三角形 right triangle 中使用毕达哥拉斯定理。

2.In geometry class, we learned about the properties of a right triangle 直角三角形 and how to calculate its area.

在几何课上，我们学习了关于直角三角形 right triangle 的性质以及如何计算它的面积。

3.The architect designed the roof to form a perfect right triangle 直角三角形 for better water drainage.

建筑师设计的屋顶形成一个完美的直角三角形 right triangle，以便更好地排水。

4.In trigonometry, sine and cosine functions are often applied to right triangles 直角三角形.

在三角学中，正弦和余弦函数通常应用于直角三角形 right triangles。

5.A right triangle 直角三角形 has one angle that measures 90 degrees.

一个直角三角形 right triangle 有一个角度为90度。

作文

A right triangle is a fundamental concept in geometry that every student encounters during their studies. It is defined as a triangle in which one of the angles measures exactly 90 degrees. This characteristic makes the right triangle unique, as it allows for the application of various mathematical principles and theorems, most notably the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship can be expressed mathematically as a² + b² = c², where 'c' represents the length of the hypotenuse, while 'a' and 'b' represent the lengths of the other two sides.Understanding the properties of a right triangle is essential not only in mathematics but also in various real-world applications. For instance, architects and engineers frequently use the principles of right triangles when designing buildings, bridges, and other structures. By applying the Pythagorean theorem, they can ensure that their designs are structurally sound and meet safety standards.In addition to its practical applications, the right triangle also plays a significant role in trigonometry. Trigonometric functions such as sine, cosine, and tangent are defined based on the ratios of the sides of a right triangle. For example, the sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse, while the cosine is the ratio of the adjacent side to the hypotenuse. These functions are invaluable for solving problems involving angles and distances, making them crucial in fields like physics, engineering, and even computer science.Moreover, the right triangle serves as a building block for more complex geometric shapes and concepts. Many advanced topics in mathematics, such as the study of polygons and circles, rely on the understanding of right triangles and their properties. For students, mastering the right triangle is often a stepping stone to success in higher-level math courses.In conclusion, the right triangle is more than just a simple geometric shape; it is a key element that connects various areas of mathematics and its applications. From the Pythagorean theorem to trigonometric functions, the right triangle provides a foundation for understanding more complex concepts. Whether in academic settings or real-world applications, the knowledge of right triangles is invaluable. As students progress in their education, they will find that the principles related to right triangles continue to be relevant and useful throughout their lives. Therefore, investing time in understanding this fundamental shape will pay off in many ways, both academically and practically.

直角三角形是几何学中的一个基本概念，每个学生在学习过程中都会接触到。它被定义为一个角度恰好为90度的三角形。这个特征使得直角三角形独特，因为它允许应用各种数学原理和定理，最著名的就是毕达哥拉斯定理。毕达哥拉斯定理指出，在一个直角三角形中，斜边（与直角相对的边）的长度的平方等于其他两边长度的平方之和。这个关系可以用数学表达式表示为a² + b² = c²，其中'c'代表斜边的长度，而'a'和'b'代表其他两边的长度。理解直角三角形的性质不仅在数学中至关重要，而且在各种现实世界的应用中也同样重要。例如，建筑师和工程师在设计建筑物、桥梁和其他结构时经常使用直角三角形的原理。通过应用毕达哥拉斯定理，他们可以确保设计的结构安全且符合标准。除了实际应用外，直角三角形在三角学中也扮演着重要角色。正弦、余弦和正切等三角函数是基于直角三角形边长的比率定义的。例如，直角三角形中一个角的正弦是对边长度与斜边长度的比率，而余弦则是邻边与斜边的比率。这些函数在解决涉及角度和距离的问题时极为重要，使它们在物理学、工程学甚至计算机科学等领域中至关重要。此外，直角三角形作为更复杂几何形状和概念的构建块。许多高级数学主题，如多边形和圆的研究，都依赖于对直角三角形及其性质的理解。对于学生来说，掌握直角三角形通常是成功进入更高水平数学课程的踏脚石。总之，直角三角形不仅仅是一个简单的几何形状；它是连接数学各个领域及其应用的关键元素。从毕达哥拉斯定理到三角函数，直角三角形为理解更复杂的概念提供了基础。无论是在学术环境还是现实世界的应用中，了解直角三角形的知识都是无价的。当学生在教育中不断进步时，他们会发现与直角三角形相关的原理在他们的生活中继续保持相关性和实用性。因此，投入时间去理解这个基本形状将会在许多方面带来回报，无论是在学术上还是在实践中。