Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 104.8   b = 32.3   c = 106.6659600767

Area: T = 1684.769963512
Perimeter: p = 243.7659600767
Semiperimeter: s = 121.8879800383

Angle ∠ A = α = 77.96662886646° = 77°57'59″ = 1.36107684428 rad
Angle ∠ B = β = 17.54437113354° = 17°32'37″ = 0.30661955258 rad
Angle ∠ C = γ = 84.49° = 84°29'24″ = 1.4754628685 rad

Height: ha = 32.15107563954
Height: hb = 104.316576688
Height: hc = 31.5990210783

Median: ma = 58.85659276355
Median: mb = 104.4933218526
Median: mc = 56.29547367974

Inradius: r = 13.82326320508
Circumradius: R = 53.57773569739

Vertex coordinates: A[106.6659600767; 0] B[0; 0] C[99.92554651362; 31.5990210783]
Centroid: CG[68.86216886342; 10.5330070261]
Coordinates of the circumscribed circle: U[53.33298003832; 5.14444699816]
Coordinates of the inscribed circle: I[89.58798003832; 13.82326320508]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 102.0343711335° = 102°2'1″ = 1.36107684428 rad
∠ B' = β' = 162.4566288665° = 162°27'23″ = 0.30661955258 rad
∠ C' = γ' = 95.51° = 95°30'36″ = 1.4754628685 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     