△ 锐角三角形判定Acute Triangle Check

使用说明与常见问题How-to & FAQ

「锐角三角形判定」是什么？What is the Acute Triangle Check tool?

三边构成三角形且 a²+b²>c²（对最大边）则为锐角。本地处理。可设置「边 a」、「边 b」、「边 c」。Sides form a triangle and a²+b²>c² for the largest side → acute. Processed locally. Settings: Side a, Side b, Side c.

如何使用「锐角三角形判定」？How do I use the Acute Triangle Check tool?

在「锐角三角形判定」中，填写「边 a」、「边 b」、「边 c」等参数，结果会随输入实时计算并显示在下方。In the Acute Triangle Check: Fill in "Side a", "Side b", "Side c"; results are recalculated instantly as you type.

等边三角形算锐角三角形吗？Is an equilateral triangle acute?

算，等边三角形每个角都是 60°，一定是锐角三角形。本页判定方法：三边先能构成三角形，再看最长边 c 是否满足 a² + b² > c²。Yes. Every angle of an equilateral triangle is 60°, so it is always acute. This page checks that the sides form a triangle and then whether the longest side c satisfies a² + b² > c².

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

例如三边 5、5、6：判定为「锐角 / Acute」，a²+b² ? c² 为 50 vs 36。For example with sides 5, 5, 6: Verdict is the bilingual page value Acute (Chinese for acute / Acute — the same string in both UI languages), and a²+b² ? c² is 50 vs 36.

哪些输入会被检查？Which inputs are validated?

「锐角三角形判定」会检查这些输入——「边 a」、「边 b」、「边 c」：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 Acute Triangle Check checks its inputs — "Side a", "Side b", "Side c": 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?

「锐角三角形判定」的设置：「边 a」默认 5；「边 b」默认 5；「边 c」默认 6。每次生成结果都按当前设置处理。Settings in the Acute Triangle Check — "Side a" default 5; "Side b" default 5; "Side c" default 6. The result always uses the current settings.

计算精度如何？How precise are the results?

「锐角三角形判定」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 Acute Triangle Check uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「锐角三角形判定」免费吗？需要注册吗？Is the Acute Triangle Check free? Do I need an account?

「锐角三角形判定」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 Acute Triangle Check is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.