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Triangle Calculator

Solve any triangle using SSS, SAS, ASA, AAS methods with complete analysis and step-by-step solutions

Triangle Solver

Sides

Angles (degrees)

Triangle Laws & Formulas

Law of Sines

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

Law of Cosines

c² = a² + b² - 2ab×cos(C)
cos(C) = (a² + b² - c²) / (2ab)

Triangle Methods

SSS: Three sides known
SAS: Two sides and included angle
ASA: Two angles and included side
AAS: Two angles and any side

Area Formulas

A = ½ab×sin(C)
A = √[s(s-a)(s-b)(s-c)]
where s = (a+b+c)/2

Frequently Asked Questions

SSS (three sides), SAS (two sides and included angle), ASA (two angles and included side), AAS (two angles and any side), and SSA (two sides and non-included angle - ambiguous case). Each method uses different combinations of the Law of Sines and Law of Cosines.