梯形计算器
从另外三个值计算梯形的面积、高度或平行边之一。显示中位线（中段）的长度，并且——有腿部长度时——显示周长和等腰梯形/不等腰梯形的分类，以及带标签的图表。
输入
将底边a、底边b、高度或面积中的任意一个留空——它将从其他三个计算得出。
输出
求解后，梯形图表将显示在此处。
使用此工具的更多方式
REST API
curl -X POST https://api.iotools.cloud/v1/tool/trapezoid-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"base1": "6",
"base2": "10",
"height": "4"
}'替换成您账户中的密钥。工具的字段即为请求体——没有额外包装。
让 AI 代理执行
Use the IOTools `trapezoid-calculator` tool (Trapezoid Calculator) on this input:
YOUR_INPUT_HERE将此粘贴给任何已连接 IOTools MCP 服务器的代理,再加上您的输入内容。
嵌入式小组件
<iframe
src="https://iotools.cloud/embed/trapezoid-calculator/"
width="100%" height="520" frameborder="0" scrolling="no" loading="lazy"
title="梯形计算器 — iotools.cloud"
sandbox="allow-scripts allow-forms allow-same-origin allow-downloads allow-popups allow-popups-to-escape-sandbox"
allow="clipboard-write"
style="width:100%;border:1px solid #e5e7eb;border-radius:12px;overflow:hidden"></iframe>
<script src="https://iotools.cloud/embed.js" async></script>把它放到您自己的页面上——免费,无需密钥,只需保留一个反向链接。
| 每次 API/MCP 调用费用 | 5 积分起 |
|---|---|
| 需要更多积分? | 查看定价 |
也可通过
使用指南
Solve a trapezoid's area, height, or either parallel base from the other three values, plus its median (midsegment) length. Add the two leg (non-parallel side) lengths for the perimeter and an isosceles/scalene classification, and get a labeled diagram either way.
The formula
For a trapezoid with parallel bases a and b and height h (the perpendicular distance between them):
area = (a + b) / 2 × hThe median (or midsegment) — the segment connecting the midpoints of the two legs — always has length (a + b) / 2, which is also area / h.
Solve for any of the four
Leave any ONE of base a, base b, height, or area blank and the calculator solves for it from the other three:
- Missing area →
area = (a + b) / 2 × h - Missing height →
h = 2 × area / (a + b) - Missing base a →
a = 2 × area / h − b - Missing base b →
b = 2 × area / h − a
If all four are supplied, the calculator checks they're consistent and flags it if they aren't.
Perimeter and shape (optional)
Fill in leg 1 and leg 2 (the two non-parallel sides) and the calculator also reports:
- Perimeter —
a + b + leg 1 + leg 2 - Shape — isosceles (equal legs) or scalene
How to use it
- Enter any three of base a, base b, height, and area — the fourth is solved for you.
- Optionally add both leg lengths for the perimeter and shape classification.
- Read the labeled diagram and the full solution, or copy the SVG source.
All calculations run in your browser — nothing is uploaded.
What if my four values don't match up?
If you fill in all four of base a, base b, height, and area, the calculator verifies area = (a + b) / 2 × h and tells you what area those three dimensions actually give if it doesn't — leave one field blank instead to have it solved for you.