Advanced Oblique Triangle Solver

Solve every common oblique triangle case with complete geometry, diagrams, uncertainty tools, exports, and transparent step-by-step calculations.

Triangle inputs

Choose a mode, enter measurements, and leave unknown values blank.

Mode and output settings

Sides

Each side may use a different unit.
± uncertainty
± uncertainty
± uncertainty

Angles

For DMS, enter values like 42 15 30.

Coordinate geometry inputs

Vertex A

Vertex B

Vertex C

Surveying and triangulation inputs

Enter baseline AB as side c. Enter interior angles measured from the baseline at stations A and B.

Examples and actions

Calculation history

History stays in this browser through local storage.

NameDateCaseAreaActions
No saved calculations yet.

Compare two saved triangles

Formulas used

Triangle angle sum

A + B + C = 180°

Law of Sines

a / sin(A) = b / sin(B) = c / sin(C)

Law of Cosines

c² = a² + b² − 2ab cos(C)

Heron's formula

s = (a + b + c) / 2,   Area = √[s(s − a)(s − b)(s − c)]

Two sides and included angle

Area = ½bc sin(A) = ½ac sin(B) = ½ab sin(C)

Radii

r = Area / s,   R = abc / (4 × Area)

How to use this calculator

  1. Select the standard, coordinate, or surveying mode.
  2. Choose the input angle format and preferred output formats.
  3. Enter known values and leave unknown values blank.
  4. Use uncertainty fields when measurements include tolerances.
  5. Press Solve triangle to calculate every valid solution.
  6. Review the diagram, advanced geometry, centers, and detailed steps.
  7. Save, compare, copy, print, or export the completed calculation.

For SSA inputs, inspect every returned solution because two triangles may satisfy the same measurements.

Supported triangle cases

CaseKnown measurementsMain methodSpecial behavior
SSSThree sidesLaw of CosinesTriangle inequality validation
SASTwo sides and included angleLaw of CosinesUnique triangle
ASATwo angles and included sideAngle sum and Law of SinesUnique triangle
AASTwo angles and non-included sideAngle sum and Law of SinesUnique triangle
SSATwo sides and non-included angleLaw of SinesZero, one, or two triangles
CoordinatesThree vertex coordinatesDistance and determinant formulasCenters and line equations

Frequently asked questions

What is an oblique triangle?

An oblique triangle has no required right angle. It may be acute or obtuse.

Why can SSA return two answers?

A sine value can correspond to an acute angle or its supplement. Both may fit the supplied side lengths.

Can I mix feet, inches, and meters?

Yes. Choose a unit beside each side. The solver converts values internally before calculating.

How are triangle centers calculated?

The solver creates or uses coordinates, then calculates centroid, incenter, circumcenter, and orthocenter positions.

Does the solver detect right triangles?

Yes. A right result is classified even though the primary calculator targets oblique triangles.

How accurate are the results?

The solver preserves full floating-point precision internally. Display rounding affects only presented values.

What does the uncertainty estimate mean?

It approximates area sensitivity to side tolerances using numerical derivatives and root-sum-square propagation.

Can the diagram be exported?

Yes. Use the SVG button after solving. Printing can also save the complete report as PDF.

Is calculation history uploaded anywhere?

No. The history feature uses local browser storage on the current device.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.