Triangle Calculator – Solve sides and angles with instant accuracy

With this tool, you can find the sides and angles of any triangle from known data, using trigonometric laws or the Pythagorean Theorem.
✅ Fast and accurate – Just enter your details and get the result instantly.
✅ Avoid errors – Automatic calculation without the need for Excel sheets.
✅ Optimize your strategy – Identify key lengths and angles for your projects.
Use our calculator now and get results in seconds.

Example of Calculation with the Triangle Calculator

Imagine you know two sides and the angle between them:
Side a: 7
Side B: 9
Angle C: 60°
📐 Applied formula: Law of Cosines → c² = a² + b² – 2ab * cos(C)
📊 Result: Side c ≈ 7.68
This means that with those values you can easily calculate the third side of the triangle and then the other angles.
📢 Save time on geometry, design, architecture, and more with this tool.

How Does Our Triangle Calculator Work?

Our calculator follows a simple three-step process:

1️⃣ Data Entry
To solve a triangle, enter the following information:
Side a 💰 Known value of the first side.
Side b ⏳ Value of the second side (optional depending on the case).
Angle C 📉 Angle included between the sides (if applicable).
Why is it important?
With at least three elements (one must be a side), the complete triangle can be solved with precise formulas.

2️⃣ Automatic Calculation
We use the following formulas depending on the case:
📐 Law of Sines: a/sin A = b/sin B = c/sin C
📐 Law of Cosines: c² = a² + b² – 2ab * cos(C)
The system automatically identifies the best formula based on your data.

3️⃣ Results and Recommendations
🔹 If you get a valid triangle, you can determine all the sides and angles.
🔹 If there is ambiguity, possible solutions are shown (SSA case).
📢 Want to avoid mistakes and improve your calculations? 🧠 Try this free tool from any device.

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What is the Triangle Calculator?

It is a digital tool that allows you to solve any triangle with the sides or angles you know, applying trigonometric laws with precision.
👉 Increase your accuracy and make better decisions in technical and academic calculations.

Improve your understanding with these trigonometry books

These books guide you step by step through the practical use of triangles in geometry, physics, and design.
1️⃣ Trigonometry – Charles P. McKeague
Explains in detail how to solve triangles using the law of sines and cosines.
2️⃣ Geometry and Trigonometry – Baldor
Includes solved exercises and practical cases to master triangles.
3️⃣ Physics for Science and Engineering – Serway
Apply the concepts of trigonometry in problems of motion and vectors.

Why Use Our Triangle Calculator?

✅ Speed – Get results in seconds without manual calculations.
✅ Precision – Exact formulas with no margin for error.
✅ Ease – Just enter your details and get your results instantly.
✅ Practical Application – Useful for students, engineers, architects, designers, and technicians.

Avoid These Common Mistakes When Using the Triangle Calculator

🚫 Cannot identify whether it is an oblique or right triangle – Affects the formula.
🚫 Entering angles in radians without converting to degrees – Produces erroneous results.
🚫 Using inconsistent measurements – Mixing meters with centimeters causes disproportionate measurements.
Use our calculator and avoid mistakes that can ruin your entire project.

Comparison: Triangle Calculator vs. Traditional Methods

Why use our calculator instead of manual methods?
✅ Fast and accurate – Get instant results without manual calculations.
✅ Avoid human error – Based on exact formulas and real data.
✅ Easy to use – Just enter the data and get the result automatically.
✅ Accessible and free – Available online without the need for additional software.
Improve your productivity in the classroom or on your technical projects.

Frequently Asked Questions about the Triangle Calculator

How to calculate a triangle with only two sides and one angle?
Use the Law of Cosines if the angle is between the sides. The calculator does this automatically.

What if I have one side and two angles?
You can apply the Law of Sines to solve the triangle. The system detects the best method.

What is the formula for the Law of Sines?
📐 a/sin A = b/sin B = c/sin C

What is the formula for the Law of Cosines?
📐 c² = a² + b² – 2ab * cos(C)

Can it be used for right triangles?
Yes, it automatically adapts and applies the Pythagorean Theorem if appropriate.

Is it useful for architecture or structural design?
Absolutely. It's useful for calculating slopes, lengths, and angles on planes.

Is it reliable for exams or university papers?
Yes, if the data is entered correctly, it provides accurate results.

Can I get results in degrees and radians?
Yes, you can configure the output format as needed.

Is the tool mobile-friendly?
100% responsive. Works on computers, tablets, and smartphones.

How accurate are the results?
The calculator provides results rounded to two or more decimal places, as needed.