Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 146.2   b = 209.3   c = 191.412155857

Area: T = 13533.9398542
Perimeter: p = 546.912155857
Semiperimeter: s = 273.4565779285

Angle ∠ A = α = 42.50440454849° = 42°30'15″ = 0.74218355391 rad
Angle ∠ B = β = 75.29659545151° = 75°17'45″ = 1.31441623197 rad
Angle ∠ C = γ = 62.2° = 62°12' = 1.08655947947 rad

Height: ha = 185.1432798113
Height: hb = 129.3265738576
Height: hc = 141.4121925624

Median: ma = 186.75987411
Median: mb = 134.368811332
Median: mc = 153.0711450021

Inradius: r = 49.4922238114
Circumradius: R = 108.193335026

Vertex coordinates: A[191.412155857; 0] B[0; 0] C[37.1099396267; 141.4121925624]
Centroid: CG[76.17436516123; 47.13773085413]
Coordinates of the circumscribed circle: U[95.70657792849; 50.46599331349]
Coordinates of the inscribed circle: I[64.15657792849; 49.4922238114]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.4965954515° = 137°29'45″ = 0.74218355391 rad
∠ B' = β' = 104.7044045485° = 104°42'15″ = 1.31441623197 rad
∠ C' = γ' = 117.8° = 117°48' = 1.08655947947 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     