Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 51   b = 110   c = 148.0310662299

Area: T = 2148.755466295
Perimeter: p = 309.0310662299
Semiperimeter: s = 154.515533115

Angle ∠ A = α = 15.30327946029° = 15°18'10″ = 0.26770841506 rad
Angle ∠ B = β = 34.69772053971° = 34°41'50″ = 0.60655804754 rad
Angle ∠ C = γ = 130° = 2.26989280276 rad

Height: ha = 84.26548887431
Height: hb = 39.06882665991
Height: hc = 29.03112105557

Median: ma = 127.8921706105
Median: mb = 96.08334974922
Median: mc = 43.26992818848

Inradius: r = 13.90664172271
Circumradius: R = 96.62201528049

Vertex coordinates: A[148.0310662299; 0] B[0; 0] C[41.93107621404; 29.03112105557]
Centroid: CG[63.32204748131; 9.67770701852]
Coordinates of the circumscribed circle: U[74.01553311495; -62.1066237069]
Coordinates of the inscribed circle: I[44.51553311495; 13.90664172271]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.6977205397° = 164°41'50″ = 0.26770841506 rad
∠ B' = β' = 145.3032794603° = 145°18'10″ = 0.60655804754 rad
∠ C' = γ' = 50° = 2.26989280276 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     