Triangle calculator SSA

Please enter two sides and a non-included angle
°


Triangle has two solutions with side c=119.8855401388 and with side c=42.74991582851

#1 Acute scalene triangle.

Sides: a = 115   b = 90   c = 119.8855401388

Area: T = 4874.377736648
Perimeter: p = 324.8855401388
Semiperimeter: s = 162.4432700694

Angle ∠ A = α = 64.62553966084° = 64°37'31″ = 1.12879259512 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 70.37546033916° = 70°22'29″ = 1.2288268539 rad

Height: ha = 84.77217802866
Height: hb = 108.3199497033
Height: hc = 81.31772798365

Median: ma = 89.05105740181
Median: mb = 108.5076934032
Median: mc = 84.08795613305

Inradius: r = 30.00767491223
Circumradius: R = 63.64396103068

Vertex coordinates: A[119.8855401388; 0] B[0; 0] C[81.31772798365; 81.31772798365]
Centroid: CG[67.06875604081; 27.10657599455]
Coordinates of the circumscribed circle: U[59.94327006939; 21.37545791425]
Coordinates of the inscribed circle: I[72.44327006939; 30.00767491223]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.3754603392° = 115°22'29″ = 1.12879259512 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 109.6255396608° = 109°37'31″ = 1.2288268539 rad




How did we calculate this triangle?

1. Use Law of Cosines


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