Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 60.5   b = 216   c = 169.2598748677

Area: T = 3653.766643128
Perimeter: p = 445.7598748677
Semiperimeter: s = 222.8799374339

Angle ∠ A = α = 11.53298492514° = 11°31'47″ = 0.20112338317 rad
Angle ∠ B = β = 134.4770150749° = 134°28'13″ = 2.34769468762 rad
Angle ∠ C = γ = 34° = 0.59334119457 rad

Height: ha = 120.786566715
Height: hb = 33.831117066
Height: hc = 43.17437379585

Median: ma = 191.6769505926
Median: mb = 67.01103499607
Median: mc = 134.1499148335

Inradius: r = 16.39334704237
Circumradius: R = 151.3422003472

Vertex coordinates: A[169.2598748677; 0] B[0; 0] C[-42.3832524119; 43.17437379585]
Centroid: CG[42.29220748527; 14.39112459862]
Coordinates of the circumscribed circle: U[84.62993743385; 125.4688207184]
Coordinates of the inscribed circle: I[6.87993743385; 16.39334704237]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.4770150749° = 168°28'13″ = 0.20112338317 rad
∠ B' = β' = 45.53298492514° = 45°31'47″ = 2.34769468762 rad
∠ C' = γ' = 146° = 0.59334119457 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     