Updated Geometry

General Triangle Solver

Solve general triangles from sides and angles, calculate area with multiple methods, use Heron’s formula, handle right triangles or solve from coordinates.

Side & Angle Solver Area & Perimeter Right Triangle Coordinates

All-in-One General Triangle Solver

Switch between side and angle solving, area and perimeter, right triangle mode, Heron's formula, and coordinate geometry.

Enter any valid combination of at least three values (including at least one side). The calculator uses the law of cosines and law of sines to solve the triangle. SSA ambiguous cases are partially supported; if no unique solution is found, you will see an error.

Provide three sides for perimeter and Heron's formula area. You can also enter base and height separately for ½ × base × height.

Enter any two of: legs a and b, one leg and hypotenuse, or one angle A and one side. The calculator assumes C = 90° and A opposite side a.

Heron's formula works with three side lengths. The triangle must satisfy the triangle inequality for a real area to exist.

Coordinate mode treats the triangle vertices as A(x₁, y₁), B(x₂, y₂), C(x₃, y₃). It computes side lengths, perimeter, area using the shoelace formula, and the centroid.

What General Triangle Solver Calculates

Use General Triangle Solver to solve general triangles from sides and angles, calculate area with multiple methods, use Heron’s formula, handle right triangles or solve from coordinates.

Related tools in this category are listed under Math Calculators.

General Triangle Solver Inputs

General Triangle Solver uses Side a, Side b, Side c, Angle A (°), Angle B (°).

General Triangle Solver Formula or Method

  • For General Triangle Solver, the result is reproducible from the values entered, including Side a, and the formula or rule described below.
  • Heron's formula is valuable when all three sides are known and no angles are given. The calculator checks if the triangle is valid and then computes semiperimeter and area.
  • The Area & Perimeter tab works both with three sides and with a base and height. From three sides it uses Heron's formula. When you enter base and height, it uses the standard formula ½ × base × height.

Reading General Triangle Solver Results

The results include Sides (a, b, c), Angles (A, B, C), Perimeter, Area (Heron's formula).

Alongside General Triangle Solver, use Right Triangle & Pythagorean Calculator to solve a right triangle from known sides or angles, calculate trig ratios, area and perimeter, and verify whether three side lengths satisfy the Pythagorean theorem.

For a different result from General Triangle Solver, Area Calculator can find the area of common 2D shapes, advanced triangle and circle measures, 3D surface areas, and composite regions in one place.

Calculators Related to General Triangle Solver

After checking General Triangle Solver, use Surface Area Calculator to calculate surface area and volume for cubes, rectangular prisms, spheres, cylinders, cones, prisms, and pyramids, plus convert between area units. When you need to find the hypotenuse, missing side, check if three sides form a right triangle, and compute 2D and 3D distances using a² + b² = c², use Pythagorean Theorem Calculator. Circle Calculator covers a separate task: calculate radius, diameter, circumference, area, arc length, and sector area from any one circle value.

After checking General Triangle Solver, use Slope Calculator to find the slope from two points, get the line equation, angle of incline, distance, intercepts, and a full line classification. When you need to quickly calculate the volume of common 3D shapes: cube, rectangular box, cylinder, sphere, cone, pyramid, and capsule, use Volume Calculator. Volume Conversion Calculator covers a separate task: convert between metric, US and UK volume units, and compute tank, pool and barrel volumes with geometry-based formulas.

After checking General Triangle Solver, use Cross Product Calculator to compute A × B, magnitude, unit normal vector, angle between vectors, area of the parallelogram, scalar triple product.

Frequently Asked Questions About General Triangle Solver

It is used to solve general triangles from sides and angles, calculate area with multiple methods, use Heron’s formula, handle right triangles or solve from coordinates.

It uses Side a, Side b, Side c, Angle A (°), Angle B (°).

General Triangle Solver uses For General Triangle Solver, the result is reproducible from the values entered, including Side a, and the formula or rule described below.

It returns Sides (a, b, c), Angles (A, B, C), Perimeter, Area (Heron's formula).

Check Side a, Side b, Side c first. Differences can also come from rounding, unit choices, or a different formula or rule set.