scalene triangle

简明释义

任意三角形

英英释义

例句

1.During the art project, we created a painting featuring a large scalene triangle in the center.

在艺术项目中，我们创作了一幅画，中央有一个大不等边三角形。

2.In geometry class, we learned that a scalene triangle is a triangle with all sides of different lengths.

在几何课上，我们了解到不等边三角形是一个所有边长都不同的三角形。

3.To calculate the area of a scalene triangle, you can use Heron's formula.

要计算不等边三角形的面积，可以使用海伦公式。

4.The architect designed a roof shaped like a scalene triangle to give the building a modern look.

建筑师设计了一个形状像不等边三角形的屋顶，以赋予建筑现代感。

5.In trigonometry, the properties of a scalene triangle can be used to find unknown angles.

在三角学中，可以利用不等边三角形的性质来找出未知角度。

作文

In the world of geometry, triangles are one of the most fundamental shapes. Among the various types of triangles, the scalene triangle stands out due to its unique properties. A scalene triangle is defined as a triangle in which all three sides have different lengths, and consequently, all three angles are also different. This characteristic sets it apart from other types of triangles, such as equilateral triangles, where all sides and angles are equal, and isosceles triangles, which have at least two sides of equal length.Understanding the properties of a scalene triangle is crucial for students studying geometry. For instance, the sum of the interior angles of any triangle, including a scalene triangle, is always 180 degrees. This means that if one angle measures 70 degrees, the other two angles must add up to 110 degrees. The fact that all sides and angles are different makes calculations involving scalene triangles particularly interesting.One of the most significant aspects of scalene triangles is their versatility in real-world applications. Architects and engineers often use the principles of scalene triangles when designing structures. The unequal side lengths can provide unique stability and aesthetic appeal in architectural designs. For example, the famous Eiffel Tower in Paris utilizes triangular shapes, some of which can be considered scalene triangles, to create a stable yet visually striking structure.Moreover, scalene triangles can be found in nature as well. Many natural formations, such as mountains and rock formations, exhibit triangular shapes that can often be classified as scalene triangles. Observing these shapes in nature helps students appreciate the relevance of geometry in the real world.In mathematics, the study of scalene triangles extends beyond basic properties. The Pythagorean theorem, for instance, can be applied to right-angled scalene triangles to find unknown side lengths. This theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For a scalene triangle that is not right-angled, other methods such as the Law of Sines and the Law of Cosines come into play, allowing mathematicians to solve for unknown elements of the triangle.Furthermore, the concept of area calculation differs for scalene triangles compared to other triangle types. The area can be calculated using Heron's formula, which requires knowing the lengths of all three sides. This formula showcases the complexity and uniqueness of scalene triangles in geometric studies.In conclusion, the scalene triangle is an essential component of geometry that offers a wealth of knowledge and applications. Its distinct properties, real-world relevance, and mathematical significance make it a fascinating subject for students and professionals alike. By exploring the characteristics and applications of scalene triangles, we gain a deeper appreciation for the role of geometry in our world, enhancing both our understanding and our ability to apply these concepts in practical situations.

在几何学的世界里，三角形是最基本的形状之一。在各种类型的三角形中，不等边三角形因其独特的属性而脱颖而出。不等边三角形被定义为三条边长度各不相同的三角形，因此，三个角也各不相同。这一特征使其与其他类型的三角形区分开来，例如等边三角形，其中所有边和角都相等，以及等腰三角形，其中至少有两条边相等。理解不等边三角形的性质对于学习几何的学生至关重要。例如，任何三角形的内角和，包括不等边三角形，始终为180度。这意味着如果一个角为70度，则另外两个角的和必须为110度。所有边和角都不同的事实使得涉及不等边三角形的计算特别有趣。不等边三角形的一个重要方面是它们在现实世界应用中的多样性。建筑师和工程师在设计结构时，经常利用不等边三角形的原理。不同的边长可以为建筑设计提供独特的稳定性和美学吸引力。例如，巴黎著名的埃菲尔铁塔利用三角形形状，其中一些可以被视为不等边三角形，以创建一个稳定且视觉上引人注目的结构。此外，不等边三角形在自然界中也可以找到。许多自然形成的地貌，如山脉和岩石结构，展现出可以归类为不等边三角形的三角形形状。在自然中观察这些形状有助于学生欣赏几何学在现实世界中的相关性。在数学中，不等边三角形的研究超越了基本属性。例如，毕达哥拉斯定理可以应用于直角不等边三角形以找出未知的边长。该定理指出，在直角三角形中，斜边的平方等于其他两条边的平方和。对于不是直角的不等边三角形，则需要使用正弦定律和余弦定律等其他方法，以便允许数学家求解三角形的未知元素。此外，不等边三角形的面积计算与其他三角形类型有所不同。面积可以使用海伦公式进行计算，该公式需要知道三条边的长度。这个公式展示了在几何研究中不等边三角形的复杂性和独特性。总之，不等边三角形是几何学的重要组成部分，提供了丰富的知识和应用。其独特的性质、与现实世界的相关性以及数学意义，使其成为学生和专业人士都感兴趣的主题。通过探索不等边三角形的特征和应用，我们可以更深入地理解几何学在我们世界中的作用，从而增强我们对这些概念的理解和在实际情况下应用这些概念的能力。