Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 40   b = 150   c = 158.8955007674

Area: T = 2986.249932383
Perimeter: p = 348.8955007674
Semiperimeter: s = 174.4487503837

Angle ∠ A = α = 14.51221143405° = 14°30'44″ = 0.25332841767 rad
Angle ∠ B = β = 70° = 1.22217304764 rad
Angle ∠ C = γ = 95.48878856595° = 95°29'16″ = 1.66765780005 rad

Height: ha = 149.3122466191
Height: hb = 39.81766576511
Height: hc = 37.58877048314

Median: ma = 153.2121656645
Median: mb = 88.31108811639
Median: mc = 75.75502088052

Inradius: r = 17.11883264773
Circumradius: R = 79.81333329357

Vertex coordinates: A[158.8955007674; 0] B[0; 0] C[13.6810805733; 37.58877048314]
Centroid: CG[57.52552711358; 12.52992349438]
Coordinates of the circumscribed circle: U[79.44875038373; -7.6332971134]
Coordinates of the inscribed circle: I[24.44875038373; 17.11883264773]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.488788566° = 165°29'16″ = 0.25332841767 rad
∠ B' = β' = 110° = 1.22217304764 rad
∠ C' = γ' = 84.51221143405° = 84°30'44″ = 1.66765780005 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     