Triangle Side Calculator
Find the opposite side with the cosine rule.
Open toolRight Triangle Trigonometry Calculator
Solve right-triangle sides, acute angles and their sine, cosine and tangent. Provide Known pair, Leg a, Leg b to compute results directly in your browser. Positive legs; c>a in hypotenuse mode;0 < A < 90 deg. Modes explicitly identify the angle opposite leg a. Degenerate inputs rejected. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Common search workflows supported include "right triangle calculator trig", "right triangle trigonometry calculator", "right triangle trigonometry solver".
Free to useNo sign-upRuns in your browser
Enter your details
Enter the inputs, then select Calculate.
Your result
Enter your details
Result will appear here
How the Right Triangle Trigonometry Calculator Works & Core Formula
The Right Triangle Trigonometry Calculator evaluates Known pair, Leg a, Leg b in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Solve right-triangle sides, acute angles and their sine, cosine and tangent.
Positive legs; c>a in hypotenuse mode;0 < A < 90 deg. Modes explicitly identify the angle opposite leg a. Degenerate inputs rejected. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
Right Triangle Trigonometry Calculator Quick Reference & Input Guide
Review the input parameters, allowed value ranges, and worked reference cases for the Right Triangle Trigonometry Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Known pair | (User supplied) | Options: Legs a and b, Hypotenuse c and leg a, Leg a and opposite angle A | Required workspace parameter |
| Input: Leg a | 3 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Leg b | 4 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Hypotenuse c | 5 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Worked Case 1: Baseline run (Leg a = 3) | Preloaded / test values | Solve right-triangle sides, acute angles and their sine, cosine and tangent | Known pair = Legs a and b; Leg a = 3; Leg b = 4; Hypotenuse c = 5; Angle A opposite leg a (deg) = 30. The displayed output is Leg a: 3 Leg b: 4 Hypotenuse c: 5 Angle A: 36.8698976458 deg Angle B: 53.1301023542 deg A sin, cos, tan: 0.6, 0.8, 0.75 B sin, cos, tan: 0.8, 0.6, 1.33333333333. |
| Worked Case 2: Comparison scenario (right triangle trigonometry calculator sin) | Preloaded / test values | Solve right-triangle sides, acute angles and their sine, cosine and tangent | Known pair = Hypotenuse c and leg a; Leg a = 5; Leg b = 4; Hypotenuse c = 13; Angle A opposite leg a (deg) = 30. The displayed output is Leg a: 5 Leg b: 12 Hypotenuse c: 13 Angle A: 22.619864948 deg Angle B: 67.380135052 deg A sin, cos, tan: 0.384615384615, 0.923076923077, 0.416666666667 B sin, cos, tan: 0.923076923077, 0.384615384615, 2.4. |
Step-by-Step Guide to Using the Right Triangle Trigonometry Calculator
Follow these three steps to configure Known pair, Leg a, Leg b, verify unit and boundary rules, and export your Right Triangle Trigonometry Calculator output.
Input and settings
Complete the other inputs
Set leg a, leg b, hypotenuse c, angle a opposite leg a (deg). Positive legs; c>a in hypotenuse mode;0 < A < 90 deg.
Tool result
Calculate and read the output
Select Calculate to see the side lengths, acute angles and trigonometric ratios. Copy result copies this text; Download saves it as a TXT file.
Review the details
Practical Worked Examples for Right Triangle Trigonometry Calculator
These concrete scenarios illustrate how the Right Triangle Trigonometry Calculator processes baseline inputs, comparison checks, and boundary constraints.
Baseline run (Leg a = 3)
Known pair = Legs a and b; Leg a = 3; Leg b = 4; Hypotenuse c = 5; Angle A opposite leg a (deg) = 30. The displayed output is Leg a: 3 Leg b: 4 Hypotenuse c: 5 Angle A: 36.8698976458 deg Angle B: 53.1301023542 deg A sin, cos, tan: 0.6, 0.8, 0.75 B sin, cos, tan: 0.8, 0.6, 1.33333333333.
Comparison scenario (right triangle trigonometry calculator sin)
Known pair = Hypotenuse c and leg a; Leg a = 5; Leg b = 4; Hypotenuse c = 13; Angle A opposite leg a (deg) = 30. The displayed output is Leg a: 5 Leg b: 12 Hypotenuse c: 13 Angle A: 22.619864948 deg Angle B: 67.380135052 deg A sin, cos, tan: 0.384615384615, 0.923076923077, 0.416666666667 B sin, cos, tan: 0.923076923077, 0.384615384615, 2.4.
Boundary & unit check (Right Triangle Calculator Trig)
When solving for 'right triangle calculator trig', verify that Known pair, Leg a, Leg b use consistent units and stay within the documented scope: Positive legs; c>a in hypotenuse mode;0 < A < 90 deg. Modes explicitly identify the angle opposite leg a. Degenerate inputs rejected. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
How to Read and Verify the Right Triangle Trigonometry Calculator Output
The output panel reports the exact result derived from Known pair, Leg a, Leg b alongside any unit or formatting notes.
The result is the side lengths, acute angles and trigonometric ratios. Recover a right triangle from one supported pair of measurements.
The angle opposite the stated leg fixes the convention and degenerate inputs are rejected.
Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.
- Example input
- Known pair = Legs a and b; Leg a = 3; Leg b = 4; Hypotenuse c = 5; Angle A opposite leg a (deg) = 30
- Example output
- Leg a: 3 Leg b: 4 Hypotenuse c: 5 Angle A: 36.8698976458 deg Angle B: 53.1301023542 deg A sin, cos, tan: 0.6, 0.8, 0.75 B sin, cos, tan: 0.8, 0.6, 1.33333333333
Scope Limits, Accuracy Assumptions & Related Everyday Math Tools
Review these boundary constraints and validation rules before relying on the Right Triangle Trigonometry Calculator output.
Operational scope: Positive legs; c>a in hypotenuse mode;0 < A < 90 deg. Modes explicitly identify the angle opposite leg a. Degenerate inputs rejected. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
Need an adjacent calculation in Everyday Math? Use the related tools linked below to chain your workflow without leaving your browser.
More free tools to try
Choose another tool for your next calculation, conversion, or text task.
RL Time Constant Calculator
Find the time constant of an ideal first-order RL circuit as L/R.
Open tool
ROAS Calculator
Find attributed revenue divided by advertising spend as a return multiple.
Open tool
Beer Lambert Law Calculator
Solve one Beer–Lambert quantity from the other supplied values.
Open tool
Chainmail Ring Calculator
Calculate ring inner/outer diameter and aspect ratio, or solve inner diameter from a supplied ratio.
Open toolFrequently Asked Questions About Right Triangle Trigonometry Calculator
Answers about using Right Triangle Trigonometry Calculator and understanding its results.
How do I calculate right triangle calculator trig using the Right Triangle Trigonometry Calculator?
The Right Triangle Trigonometry Calculator applies the rule: Solve right-triangle sides, acute angles and their sine, cosine and tangent. Enter Known pair, Leg a, Leg b into the workspace and the tool computes the exact output in your browser.
Can I use this tool for right triangle trigonometry calculator?
Yes. Provide Known pair, Leg a, Leg b using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
What are the accuracy limits and boundary assumptions for Right Triangle Trigonometry Calculator?
Positive legs; c>a in hypotenuse mode;0 < A < 90 deg. Modes explicitly identify the angle opposite leg a. Degenerate inputs rejected. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Is the Right Triangle Trigonometry Calculator free and does it keep my inputs private?
Yes. All calculations for the Right Triangle Trigonometry Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
Get the side lengths, acute angles and trigonometric ratios
Choose another tool for your next calculation, conversion, or text task.