Triangle calculator SSA

Please enter two sides and a non-included angle
°


Triangle has two solutions with side c=67.02770155446 and with side c=3.894395228

#1 Obtuse scalene triangle.

Sides: a = 45   b = 42   c = 67.02770155446

Area: T = 928.484390373
Perimeter: p = 154.0277015545
Semiperimeter: s = 77.01435077723

Angle ∠ A = α = 41.27222167114° = 41°16'20″ = 0.72203360712 rad
Angle ∠ B = β = 38° = 0.66332251158 rad
Angle ∠ C = γ = 100.7287783289° = 100°43'40″ = 1.75880314666 rad

Height: ha = 41.26659512769
Height: hb = 44.21435192252
Height: hc = 27.70547663897

Median: ma = 51.20660582979
Median: mb = 53.08330519696
Median: mc = 27.77330948365

Inradius: r = 12.05661175641
Circumradius: R = 34.11096541551

Vertex coordinates: A[67.02770155446; 0] B[0; 0] C[35.46604839123; 27.70547663897]
Centroid: CG[34.1622499819; 9.23549221299]
Coordinates of the circumscribed circle: U[33.51435077723; -6.34992758152]
Coordinates of the inscribed circle: I[35.01435077723; 12.05661175641]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.7287783289° = 138°43'40″ = 0.72203360712 rad
∠ B' = β' = 142° = 0.66332251158 rad
∠ C' = γ' = 79.27222167114° = 79°16'20″ = 1.75880314666 rad




How did we calculate this triangle?

1. Use Law of Cosines


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