Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 3.5   b = 4.2   c = 7.60326203573

Area: T = 2.31103170485
Perimeter: p = 15.30326203573
Semiperimeter: s = 7.65113101787

Angle ∠ A = α = 8.3220301852° = 8°19'13″ = 0.14552166621 rad
Angle ∠ B = β = 10° = 0.17545329252 rad
Angle ∠ C = γ = 161.6879698148° = 161°40'47″ = 2.82218430663 rad

Height: ha = 1.32201811705
Height: hb = 1.11001509755
Height: hc = 0.60877686218

Median: ma = 5.88770551338
Median: mb = 5.53330749271
Median: mc = 0.70435914479

Inradius: r = 0.30219505149
Circumradius: R = 12.09334180146

Vertex coordinates: A[7.60326203573; 0] B[0; 0] C[3.44768271355; 0.60877686218]
Centroid: CG[3.68331491643; 0.20325895406]
Coordinates of the circumscribed circle: U[3.80113101787; -11.48804529615]
Coordinates of the inscribed circle: I[3.45113101787; 0.30219505149]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.6879698148° = 171°40'47″ = 0.14552166621 rad
∠ B' = β' = 170° = 0.17545329252 rad
∠ C' = γ' = 18.3220301852° = 18°19'13″ = 2.82218430663 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     