Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 3473   b = 4822   c = 5009.119890109

Area: T = 7973902.282167
Perimeter: p = 13304.11989011
Semiperimeter: s = 6652.059945054

Angle ∠ A = α = 41.31993999231° = 41°19'10″ = 0.72111595736 rad
Angle ∠ B = β = 66.45106000769° = 66°27'2″ = 1.16597817613 rad
Angle ∠ C = γ = 72.23° = 72°13'48″ = 1.26106513187 rad

Height: ha = 4591.939911988
Height: hb = 3307.301082193
Height: hc = 3183.754444429

Median: ma = 4599.577017912
Median: mb = 3572.615523014
Median: mc = 3374.002184628

Inradius: r = 1198.712181864
Circumradius: R = 2630.0440459

Vertex coordinates: A[5009.119890109; 0] B[0; 0] C[1387.60110372; 3183.754444429]
Centroid: CG[2132.243997943; 1061.251148143]
Coordinates of the circumscribed circle: U[2504.559945054; 802.6879746006]
Coordinates of the inscribed circle: I[1830.059945054; 1198.712181864]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.6810600077° = 138°40'50″ = 0.72111595736 rad
∠ B' = β' = 113.5499399923° = 113°32'58″ = 1.16597817613 rad
∠ C' = γ' = 107.77° = 107°46'12″ = 1.26106513187 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     