△ 等边三角形面积Equilateral Triangle Area

使用说明与常见问题How-to & FAQ

「等边三角形面积」是什么？What is the Equilateral Triangle Area tool?

面积 = √3 / 4 × a²。本地处理。可设置「边长」。Area = √3 / 4 × a². Processed locally. Settings: Side.

如何使用「等边三角形面积」？How do I use the Equilateral Triangle Area tool?

在「等边三角形面积」中，填写「边长」等参数，结果会随输入实时计算并显示在下方。In the Equilateral Triangle Area: Fill in "Side"; results are recalculated instantly as you type.

高怎么算？How do I get the height?

等边三角形的高 = √3 ÷ 2 × a ≈ 0.866a。本页的面积 √3 ÷ 4 × a² 正是 底 × 高 ÷ 2 代入这个高得到的。The height of an equilateral triangle is √3 ÷ 2 × a ≈ 0.866a. The area √3 ÷ 4 × a² on this page is just base × height ÷ 2 with that height.

能举个计算实例吗？Can you show a worked example?

例如在「等边三角形面积」中填 边长 = 6，结果区显示：面积：15.58845727For example, entering Side = 6 in the Equilateral Triangle Area gives: Area: 15.58845727

哪些输入会被检查？Which inputs are validated?

「等边三角形面积」会检查这些输入——「边长」：必须填写，须大于 0；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Equilateral Triangle Area checks its inputs — "Side": required, must be greater than 0; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.

有哪些选项可以调整？What options can I adjust?

「等边三角形面积」的设置：「边长」默认 6。每次生成结果都按当前设置处理。Settings in the Equilateral Triangle Area — "Side" default 6. The result always uses the current settings.

计算精度如何？How precise are the results?

「等边三角形面积」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Equilateral Triangle Area uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「等边三角形面积」免费吗？需要注册吗？Is the Equilateral Triangle Area free? Do I need an account?

「等边三角形面积」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Equilateral Triangle Area is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.