# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 20.5   b = 35   c = 52.49900858932

Area: T = 227.3798505803
Perimeter: p = 107.9990085893
Semiperimeter: s = 53.99550429466

Angle ∠ A = α = 14.33216084388° = 14°19'54″ = 0.25501337544 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 140.6688391561° = 140°40'6″ = 2.45551265862 rad

Height: ha = 22.18332688588
Height: hb = 12.99330574744
Height: hc = 8.66436743657

Median: ma = 43.41770710497
Median: mb = 35.79877591273
Median: mc = 11.56881770703

Inradius: r = 4.21110996379
Circumradius: R = 41.40985277052

Vertex coordinates: A[52.49900858932; 0] B[0; 0] C[18.57993096343; 8.66436743657]
Centroid: CG[23.69897985092; 2.88878914552]
Coordinates of the circumscribed circle: U[26.24550429466; -32.02991100008]
Coordinates of the inscribed circle: I[18.99550429466; 4.21110996379]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.6688391561° = 165°40'6″ = 0.25501337544 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 39.33216084388° = 39°19'54″ = 2.45551265862 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    