📐 30-60-90 三角形30-60-90 Triangle Calculator

使用说明与常见问题How-to & FAQ

「30-60-90 三角形」是什么？What is the 30-60-90 Triangle Calculator tool?

边比 1 : √3 : 2（短直角边 : 长直角边 : 斜边）。可设置「已知」、「长度」。Side ratio 1 : √3 : 2 (short leg : long leg : hypotenuse). Settings: Given, Length.

如何使用「30-60-90 三角形」？How do I use the 30-60-90 Triangle Calculator tool?

在「30-60-90 三角形」中，填写「已知」、「长度」等参数，结果会随输入实时计算并显示在下方。In the 30-60-90 Triangle Calculator: Fill in "Given", "Length"; results are recalculated instantly as you type.

三个角各是多少度？What are the angles?

30°、60° 和 90°。三边比例为 短直角边 : 长直角边 : 斜边 = 1 : √3 : 2，所以斜边是短边的 2 倍，长直角边约是短边的 1.732 倍。30°, 60° and 90°. The sides are in the ratio short leg : long leg : hypotenuse = 1 : √3 : 2, so the hypotenuse is twice the short leg and the long leg about 1.732 times it.

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

例如在「30-60-90 三角形」中填 已知 = 短直角边，长度 = 1，结果区显示：短直角边：1；长直角边：1.732051；斜边：2；面积：0.866025For example, entering Given = Short leg, Length = 1 in the 30-60-90 Triangle Calculator gives: Short leg: 1; Long leg: 1.732051; Hypotenuse: 2; Area: 0.866025

哪些输入会被检查？Which inputs are validated?

「30-60-90 三角形」会检查这些输入——「长度」：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 30-60-90 Triangle Calculator checks its inputs — "Length": 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?

「30-60-90 三角形」的设置：「已知」可选 短直角边、长直角边、斜边（默认 短直角边）；「长度」默认 5。每次生成结果都按当前设置处理。Settings in the 30-60-90 Triangle Calculator — "Given": Short leg, Long leg, Hypotenuse (default Short leg); "Length" default 5. The result always uses the current settings.

计算精度如何？How precise are the results?

「30-60-90 三角形」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 30-60-90 Triangle Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「30-60-90 三角形」免费吗？需要注册吗？Is the 30-60-90 Triangle Calculator free? Do I need an account?

「30-60-90 三角形」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 30-60-90 Triangle Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.