right angled triangle

简明释义

直角三角形

英英释义

例句

1.When measuring the height of a tree, you can form a right angled triangle 直角三角形 using a stick and your shadow.

在测量树木的高度时，你可以用一根棍子和你的影子形成一个right angled triangle 直角三角形。

2.The architect designed the roof in the shape of a right angled triangle 直角三角形 for better water drainage.

建筑师设计了一个形状为right angled triangle 直角三角形的屋顶，以便更好地排水。

3.In geometry class, we learned that a right angled triangle 直角三角形 has one angle measuring 90 degrees.

在几何课上，我们了解到一个right angled triangle 直角三角形有一个角度为90度。

4.In trigonometry, the sine, cosine, and tangent functions are based on the properties of a right angled triangle 直角三角形.

在三角学中，正弦、余弦和正切函数是基于right angled triangle 直角三角形的性质。

5.To calculate the hypotenuse, you can use the Pythagorean theorem for a right angled triangle 直角三角形.

要计算斜边，你可以使用毕达哥拉斯定理来处理一个right angled triangle 直角三角形。

作文

A right angled triangle is a fundamental shape in geometry that has captivated mathematicians and students alike for centuries. Defined by one angle measuring exactly 90 degrees, the right angled triangle serves as a cornerstone for various mathematical concepts and real-world applications. Understanding this triangle not only enhances one's geometry skills but also provides insight into the principles of trigonometry and the Pythagorean theorem.To begin with, the properties of a right angled triangle are intriguing. The side opposite the right angle is known as the hypotenuse, which is always the longest side of the triangle. The other two sides are referred to as the adjacent and opposite sides, depending on the angle of interest. This classification is crucial when applying trigonometric ratios, such as sine, cosine, and tangent, which relate the angles to the lengths of the sides. For example, in a right angled triangle, the sine of an angle is the ratio of the length of the opposite side to the hypotenuse, while the cosine is the ratio of the adjacent side to the hypotenuse. These relationships form the basis of trigonometry and are essential for solving various problems in mathematics and physics.In practical terms, right angled triangles are everywhere in our daily lives. From architecture to engineering, the principles derived from these triangles help create stable structures and solve complex design challenges. For instance, when constructing a building, architects often use the properties of a right angled triangle to ensure that angles are precise. A common method involves the 3-4-5 rule, where a triangle with sides measuring 3 units, 4 units, and 5 units will always form a right angled triangle. This simple yet effective technique allows builders to check for right angles without sophisticated tools.Moreover, the significance of the right angled triangle extends beyond construction. In navigation, sailors and pilots utilize triangulation methods that rely on right angled triangles to determine their position. By measuring distances and angles, they can create a map of their surroundings, ensuring safe passage through the skies or seas. Similarly, in computer graphics, right angled triangles are essential for rendering images and creating realistic simulations. They serve as the building blocks for complex shapes and surfaces, enabling the creation of lifelike visuals in video games and movies.In education, teaching about right angled triangles is vital for developing critical thinking and problem-solving skills. Students learn to apply the Pythagorean theorem, which states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem not only reinforces algebraic concepts but also encourages logical reasoning. As students work through various problems involving right angled triangles, they gain confidence in their mathematical abilities and learn to approach challenges systematically.In conclusion, the right angled triangle is more than just a shape; it is a powerful tool that bridges the gap between theoretical mathematics and practical applications. Its unique properties and relationships play a pivotal role in numerous fields, from engineering to navigation. By understanding and mastering the concepts surrounding the right angled triangle, individuals can enhance their mathematical skills and appreciate the beauty of geometry in the world around them.

直角三角形是几何学中的一个基本形状，几个世纪以来一直吸引着数学家和学生的关注。定义为一个角恰好为90度，直角三角形是各种数学概念和现实世界应用的基石。理解这个三角形不仅能提高一个人的几何技能，还能提供对三角学和毕达哥拉斯定理原理的深入了解。首先，直角三角形的性质非常有趣。与直角相对的边称为斜边，它始终是三角形中最长的边。其他两条边根据感兴趣的角度被称为邻边和对边。这种分类在应用三角比时至关重要，例如正弦、余弦和正切，它们将角与边的长度联系起来。例如，在一个直角三角形中，一个角的正弦是对边长度与斜边长度的比率，而余弦是邻边与斜边的比率。这些关系构成了三角学的基础，对于解决数学和物理中的各种问题至关重要。在实际生活中，直角三角形无处不在。从建筑到工程，从这些三角形推导出的原理帮助创造稳定的结构并解决复杂的设计挑战。例如，在建造建筑时，建筑师经常利用直角三角形的性质来确保角度的准确性。一种常见的方法是3-4-5规则，其中一条边长为3个单位，另一条边长为4个单位，斜边长为5个单位的三角形总是形成一个直角三角形。这种简单而有效的技术使建筑工人能够在没有复杂工具的情况下检查直角。此外，直角三角形的重要性超越了建筑。在导航中，水手和飞行员利用依赖于直角三角形的三角测量方法来确定他们的位置。通过测量距离和角度，他们可以绘制周围环境的地图，确保安全通过天空或海洋。同样，在计算机图形学中，直角三角形对于渲染图像和创建逼真的模拟至关重要。它们作为复杂形状和表面的构建块，使得视频游戏和电影中的逼真视觉效果得以实现。在教育中，教授关于直角三角形的知识对于培养批判性思维和解决问题的能力至关重要。学生学习应用毕达哥拉斯定理，该定理指出，在一个直角三角形中，斜边的平方等于其他两条边的平方之和。这个定理不仅强化了代数概念，还鼓励逻辑推理。当学生通过涉及直角三角形的各种问题时，他们增强了自己的数学能力，并学会系统地处理挑战。总之，直角三角形不仅仅是一个形状；它是一个强大的工具，架起了理论数学与实际应用之间的桥梁。它独特的性质和关系在多个领域中发挥着关键作用，从工程到导航。通过理解和掌握围绕直角三角形的概念，个人可以提高他们的数学技能，并欣赏到周围世界几何学的美。