Compute triangle properties from known side and angle combinations.
Triangles are foundational in geometry, surveying, construction, and trigonometry because complex shapes can often be decomposed into triangular elements.
Different known inputs require different solving strategies. Right triangles use Pythagorean and trig ratios, while general triangles may require law of sines, law of cosines, or Heron formula.
This calculator helps identify valid solve paths from available inputs and avoids common mistakes such as impossible side combinations or angle-sum inconsistencies.
Select SSS, SAS, ASA, AAS, or right-triangle mode.
Provide measurements with consistent units.
Calculator applies appropriate geometric and trig formulas.
Review complete triangle summary after solving dimensions.
Check triangle inequality and angle sum equals 180 degrees.
a^2 + b^2 = c^2 (right triangle); Area = (1/2)bh; Heron: Area = sqrt(s(s-a)(s-b)(s-c))
Right triangles use Pythagorean relationships. Any triangle area can be computed from base-height or side-only Heron formula when semiperimeter is known.
c = sqrt(6^2 + 8^2) = 10
Hypotenuse = 10.
A = (1/2) x 14 x 9
Area = 63 cm^2.
s=9, A=sqrt(9x4x3x2)
Area about 14.70 square units.