# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Acute scalene triangle.

Sides: a = 11.4   b = 12.8   c = 14.4330039195

Area: T = 69.75329934209
Perimeter: p = 38.6330039195
Semiperimeter: s = 19.31550195975

Angle ∠ A = α = 49.05109636827° = 49°3'3″ = 0.85661008175 rad
Angle ∠ B = β = 58° = 1.01222909662 rad
Angle ∠ C = γ = 72.94990363173° = 72°56'57″ = 1.27332008699 rad

Height: ha = 12.23773672668
Height: hb = 10.8998905222
Height: hc = 9.66877482962

Median: ma = 12.39112475395
Median: mb = 11.32195854865
Median: mc = 9.7398762355

Inradius: r = 3.61113343333
Circumradius: R = 7.54767417815

Vertex coordinates: A[14.4330039195; 0] B[0; 0] C[6.04110796123; 9.66877482962]
Centroid: CG[6.82437062691; 3.22325827654]
Coordinates of the circumscribed circle: U[7.21550195975; 2.21328722792]
Coordinates of the inscribed circle: I[6.51550195975; 3.61113343333]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.9499036317° = 130°56'57″ = 0.85661008175 rad
∠ B' = β' = 122° = 1.01222909662 rad
∠ C' = γ' = 107.0510963683° = 107°3'3″ = 1.27332008699 rad

# How did we calculate this triangle?

### 1. Use Law of Cosines  Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    