Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 40.7   b = 52.5   c = 84.485503136

Area: T = 823.0010736419
Perimeter: p = 177.685503136
Semiperimeter: s = 88.843251568

Angle ∠ A = α = 21.78334832618° = 21°47'1″ = 0.38801935055 rad
Angle ∠ B = β = 28.6° = 28°36' = 0.49991641661 rad
Angle ∠ C = γ = 129.6176516738° = 129°36'59″ = 2.2622234982 rad

Height: ha = 40.44222966299
Height: hb = 31.35224090064
Height: hc = 19.48327586182

Median: ma = 67.32765383185
Median: mb = 60.89437005112
Median: mc = 20.5411174967

Inradius: r = 9.26435910872
Circumradius: R = 54.83769469097

Vertex coordinates: A[84.485503136; 0] B[0; 0] C[35.73439070999; 19.48327586182]
Centroid: CG[40.07329794867; 6.49442528727]
Coordinates of the circumscribed circle: U[42.243251568; -34.96765642493]
Coordinates of the inscribed circle: I[36.343251568; 9.26435910872]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.2176516738° = 158°12'59″ = 0.38801935055 rad
∠ B' = β' = 151.4° = 151°24' = 0.49991641661 rad
∠ C' = γ' = 50.38334832618° = 50°23'1″ = 2.2622234982 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     