# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 64   b = 66   c = 116.4077283213

Area: T = 1683.97662325
Perimeter: p = 246.4077283213
Semiperimeter: s = 123.2043641606

Angle ∠ A = α = 265.9999937386° = 26° = 0.45437854962 rad
Angle ∠ B = β = 26.877658° = 26°52'36″ = 0.46990848127 rad
Angle ∠ C = γ = 127.1233426261° = 127°7'24″ = 2.21987223447 rad

Height: ha = 52.62442572655
Height: hb = 51.03295828029
Height: hc = 28.93224892055

Median: ma = 89.04767730605
Median: mb = 87.94550271049
Median: mc = 28.95440343261

Inradius: r = 13.66882342384
Circumradius: R = 72.99875214024

Vertex coordinates: A[116.4077283213; 0] B[0; 0] C[57.08768729953; 28.93224892055]
Centroid: CG[57.83113854027; 9.64441630685]
Coordinates of the circumscribed circle: U[58.20436416064; -44.05664891321]
Coordinates of the inscribed circle: I[57.20436416064; 13.66882342384]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 1544.000006261° = 154° = 0.45437854962 rad
∠ B' = β' = 153.123342° = 153°7'24″ = 0.46990848127 rad
∠ C' = γ' = 52.87765737386° = 52°52'36″ = 2.21987223447 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    