📐 Euclidean Trigonometry & Area Solver
Triangle Calculator & Geometry Solver
Solve all unknown sides, angles, area (Heron's formula), perimeter, inradius, and circumradius across SSS, SAS, and ASA configurations.
Sample Triangles:
6 - 8 - 10 Right Triangle
Equilateral (7 - 7 - 7)
SAS (a=5, b=8, γ=60°)
ASA (α=45°, β=65°, c=10)
Area (Heron's Formula)
24.00 sq units
Semi-perimeter: 12.00
Perimeter (a + b + c)
24.00 units
Sides: 6, 8, 10
Interior Angles
α: 36.87°, β: 53.13°, γ: 90.00°
Sum: 180.00°
Classification
Right Scalene
Inradius: 2.0 | Circumradius: 5.0
Trigonometric Laws for Triangle Solving
- Law of Cosines: $c^2 = a^2 + b^2 - 2ab\cos(\gamma)$
- Law of Sines: $\frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)} = 2R$
- Heron's Formula: $\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a+b+c}{2}$
- Inradius ($r$): $r = \frac{\text{Area}}{s}$
- Circumradius ($R$): $R = \frac{abc}{4 \times \text{Area}}$