# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 33   b = 50   c = 21.49114366531

Area: T = 263.5265624023
Perimeter: p = 104.4911436653
Semiperimeter: s = 52.24657183265

Angle ∠ A = α = 29.37218451774° = 29°22'19″ = 0.51326354057 rad
Angle ∠ B = β = 132° = 2.30438346126 rad
Angle ∠ C = γ = 18.62881548226° = 18°37'41″ = 0.32551226352 rad

Height: ha = 15.97112499408
Height: hb = 10.54110249609
Height: hc = 24.52437792408

Median: ma = 34.76662325354
Median: mb = 12.26554361809
Median: mc = 40.97659629252

Inradius: r = 5.04439659452
Circumradius: R = 33.64108182402

Vertex coordinates: A[21.49114366531; 0] B[0; 0] C[-22.08113100098; 24.52437792408]
Centroid: CG[-0.19766244523; 8.17545930803]
Coordinates of the circumscribed circle: U[10.74657183265; 31.87884282786]
Coordinates of the inscribed circle: I[2.24657183265; 5.04439659452]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6288154823° = 150°37'41″ = 0.51326354057 rad
∠ B' = β' = 48° = 2.30438346126 rad
∠ C' = γ' = 161.3721845177° = 161°22'19″ = 0.32551226352 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    