Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Obtuse scalene triangle.

Sides: a = 7.6   b = 6.7   c = 3.56879990391

Area: T = 11.95327459885
Perimeter: p = 17.86879990391
Semiperimeter: s = 8.93439995196

Angle ∠ A = α = 90.16770333079° = 90°10'1″ = 1.5743711608 rad
Angle ∠ B = β = 61.83329666921° = 61°49'59″ = 1.07991888551 rad
Angle ∠ C = γ = 28° = 0.48986921906 rad

Height: ha = 3.14554594707
Height: hb = 3.56879838772
Height: hc = 6.76999715288

Median: ma = 3.79108189843
Median: mb = 4.90113068228
Median: mc = 6.93884685424

Inradius: r = 1.3387894183
Circumradius: R = 3.88000161479

Vertex coordinates: A[3.56879990391; 0] B[0; 0] C[3.58875313954; 6.76999715288]
Centroid: CG[2.38551768115; 2.23333238429]
Coordinates of the circumscribed circle: U[1.78439995196; 3.35552151106]
Coordinates of the inscribed circle: I[2.23439995196; 1.3387894183]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 89.83329666921° = 89°49'59″ = 1.5743711608 rad
∠ B' = β' = 118.1677033308° = 118°10'1″ = 1.07991888551 rad
∠ C' = γ' = 152° = 0.48986921906 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a 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     