Triangle & Shape Angle Solver
Input 3 Known Values (Side-Side-Side)
Calculated Triangle Properties
14.70
18.00
1.63
3.57
SSS & SAS Triangle Solver — Free Triangle Calculator & Angle Calculator
Solve any right-angled or general oblique triangle instantly with our free triangle solver. Whether you need an efficient SSS triangle solver, an interactive SAS triangle solver, or a reliable right triangle calculator to determine missing side lengths, interior angles, perimeter, and area, our browser calculator delivers step-by-step mathematical precision.
Triangle Solving Methods Breakdown (SSS, SAS, ASA, AAS)
How you solve triangle by two sides and angle or three known sides depends on which dimensions are provided:
| Method | Known Inputs | Primary Formula Used | Best Use Case |
|---|---|---|---|
| SSS | Three Side Lengths (a, b, c) | Law of Cosines | Find all three interior angles when all sides are measured. |
| SAS | Two Sides + Enclosed Angle | Law of Cosines & Law of Sines | Solve triangle by two sides and angle in woodworking & surveying. |
| ASA / AAS | Two Angles + One Side | Law of Sines & Angle Sum (180°) | Calculate remaining side lengths in structural truss design. |
| Right Angle | Two Sides (or 1 Side + 1 Angle) | Pythagorean Theorem (a² + b² = c²) | Functions as a hypotenuse calculator and right triangle calculator. |
Need to measure angles directly on digital images or live physical objects? Check our Image Protractor to upload photos, or use our Camera Angle Finder for real-time camera measurements.
Calculated Triangle Outputs & Trigonometry Applications
When you enter parameters into our triangle angle solver online, our algorithm instantly computes complete geometric properties:
Interior Angles & Side Lengths
Computes missing side lengths a, b, c and interior angles A, B, C with high decimal precision.
Triangle Area & Perimeter
Calculates total surface area using Heron's Formula alongside the total boundary perimeter distance.
Hypotenuse Calculation
Serves as a dedicated hypotenuse calculator for right triangle problems in framing and construction.
SVG Visual Render
Generates a dynamic 2D visual render of your solved right triangle or oblique triangle with labeled angles.
Frequently Asked Questions
How do I solve a triangle by two sides and an enclosed angle (SAS)?
Select the SAS triangle solver mode in our triangle calculator, enter the lengths of sides a and b, and type the enclosed angle C. The calculator uses the Law of Cosines (c² = a² + b² - 2ab cos(C)) to determine the third side c and remaining angles.
What is an SSS triangle solver?
An SSS triangle solver calculates all three interior angles of a triangle when only the three side lengths (a, b, c) are known, verifying that the triangle inequality theorem (a + b > c) is satisfied.
How does the right triangle hypotenuse calculator work?
Our right triangle calculator applies the Pythagorean Theorem (a² + b² = c²) to calculate the hypotenuse c = √(a² + b²) or solve for a missing leg length when the hypotenuse and one leg are provided.
Who Uses This Angle Finder Tool?
From job site slope checks to classroom geometry and blueprint analysis, our web-based tools provide instant geometric precision across every screen.
Carpentry & Construction
Verify roof pitches, miter saw angles, stair rises, and structural slopes right on site using your smartphone's built-in tilt sensor.
Architects & Draftsmen
Upload floor plans, CAD drawings, or site photos to measure line intersections and export annotated high-resolution PNG snapshots.
Teachers & Geometry Students
Explore angle classifications, test radian-to-degree conversions, and solve right or oblique triangles with step-by-step trigonometry formulas.
DIY & Home Decorators
Use camera overlay and freeze-frame mode to align wall art, check shelf alignment, measure trim angles, and inspect home improvement projects.
Measurement Log & Saved Angles
History of saved angle measurements stored locally in your browser.
No saved measurements yet.
Click "Save Log" on any tool to record your angle measurements.
| Time | Tool Mode | Angle Value | Degrees (°) | Actions |
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