Triangle Calculator

Enter three side lengths to compute area, perimeter and interior angles.

Result

24
Area
24
Perimeter
36.87°
Angle A
53.13°
Angle B
90°
Angle C

Formula

Heron: s = (a+b+c)/2, area = √(s(s−a)(s−b)(s−c)). Law of cosines gives each angle.

Worked example

6, 8, 10 → area 24, right triangle (angle C = 90°).

About the triangle calculator

A triangle calculator handles the two calculations every geometry course returns to: area and angles from three side lengths. A well-built calculator turns a topic that usually requires spreadsheets, formulas, or expert guidance into a single input form with an instant, trustworthy answer. That matters because most people making a decision — a budget, a purchase, a health goal, a homework problem — do not want to install software or open a textbook. They want a clear number and a short explanation of where it came from, and they want it to load on their phone in a second.

This tool is for geometry students, drafters checking a corner, tile-setters and carpenters cutting non-square shapes, and anyone confirming a 3-4-5 layout is truly square. Different visitors arrive here with very different backgrounds. Some are professionals double-checking a value they already estimated in their head. Others are complete beginners who have never seen the underlying formula before. The tool above is designed so both groups can succeed on the first try: defaults reflect realistic real-world inputs, labels are written in plain English, and the result panel highlights the primary number in a large, glanceable format while keeping supporting figures visible for context.

Triangles are the atoms of most flat geometry — any polygon can be triangulated, and any triangle is fully determined by three sides. Understanding the "why" behind a calculation is what turns a one-off answer into a lasting mental model. This is why every calculator on CalcCosmos publishes the exact formula it uses and walks through a worked example with real numbers. When you can see that a percentage change is nothing more than the difference divided by the starting value, or that a monthly loan payment is a rearranged annuity formula, you gain a portable skill you can reuse anywhere — on a napkin, in a job interview, or with a friend who needs help.

Enter the three side lengths in the same units; the calculator returns area, perimeter and each interior angle. Using the tool above is intentionally straightforward. Enter your values, and the result updates instantly — there is no submit button, no loading spinner, and no page reload. When you're happy with the answer, tap "Copy" to place the result on your clipboard for pasting into a message, a spreadsheet, or a form. Tap "Share" to send it to a friend using your device's native share sheet, which falls back to copying a formatted summary when native sharing is unavailable. All of the math runs directly in your browser, so nothing you enter is transmitted or stored on our servers.

When measuring in the field, take each side twice and average, and always sanity-check with the triangle inequality (any two sides must exceed the third). A few small habits will make the tool more useful over time. First, treat the default values as a sanity check: if your inputs produce a result that is dramatically different from the default, verify that you entered the right units. Second, if the calculator supports multiple modes, try each one — you often learn something new about the problem simply by comparing how the same variables interact under different assumptions. Third, bookmark the tools you return to often; each calculator lives at a permanent URL that will not change.

Combine the triangle calculator with our area and equation-solver tools for broader geometry work. CalcCosmos exists to give you the fastest possible path from question to trustworthy answer. If a calculation you rely on is missing from our library, or if you'd like to see additional inputs, edge-case handling, or worked examples added to this page, we want to hear about it. New calculators launch every week based on what people ask us for, and every existing tool is refined based on real user feedback. Thank you for choosing CalcCosmos — we hope this calculator saves you time today and teaches you something you can use tomorrow.

Frequently asked questions

What are valid triangle sides?+

Each side must be positive and shorter than the sum of the other two.

Can I use different units?+

Yes — the tool is unit-agnostic; area comes out in your input units squared.

How is a right triangle detected?+

Look for one angle equal to 90° — the tool computes each angle, so it's obvious.

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