Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 5.6   b = 6.7   c = 10.1587713162

Area: T = 17.51103954795
Perimeter: p = 22.4587713162
Semiperimeter: s = 11.2298856581

Angle ∠ A = α = 30.97695678664° = 30°58'10″ = 0.54105209272 rad
Angle ∠ B = β = 38° = 0.66332251158 rad
Angle ∠ C = γ = 111.0330432134° = 111°1'50″ = 1.93878466106 rad

Height: ha = 6.25437126713
Height: hb = 5.22769837252
Height: hc = 3.44877042618

Median: ma = 8.13660044457
Median: mb = 7.48664589988
Median: mc = 3.51114407057

Inradius: r = 1.55994103775
Circumradius: R = 5.44113019724

Vertex coordinates: A[10.1587713162; 0] B[0; 0] C[4.41328602202; 3.44877042618]
Centroid: CG[4.85768577941; 1.14992347539]
Coordinates of the circumscribed circle: U[5.0798856581; -1.95326860946]
Coordinates of the inscribed circle: I[4.5298856581; 1.55994103775]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.0330432134° = 149°1'50″ = 0.54105209272 rad
∠ B' = β' = 142° = 0.66332251158 rad
∠ C' = γ' = 68.97695678664° = 68°58'10″ = 1.93878466106 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     