# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 84.49   b = 193.92   c = 212.2021514757

Area: T = 8191.838846801
Perimeter: p = 490.6121514757
Semiperimeter: s = 245.3065757378

Angle ∠ A = α = 23.46222088863° = 23°27'44″ = 0.40994927949 rad
Angle ∠ B = β = 66.03877911137° = 66°2'16″ = 1.15325768857 rad
Angle ∠ C = γ = 90.5° = 90°30' = 1.58795229731 rad

Height: ha = 193.9132616121
Height: hb = 84.48767828797
Height: hc = 77.20881054879

Median: ma = 198.8288027721
Median: mb = 129.1621836014
Median: mc = 105.4254819344

Inradius: r = 33.39443995264
Circumradius: R = 106.1054797524

Vertex coordinates: A[212.2021514757; 0] B[0; 0] C[34.31442615683; 77.20881054879]
Centroid: CG[82.17219254417; 25.73660351626]
Coordinates of the circumscribed circle: U[106.1010757378; -0.92659272821]
Coordinates of the inscribed circle: I[51.38657573784; 33.39443995264]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.5387791114° = 156°32'16″ = 0.40994927949 rad
∠ B' = β' = 113.9622208886° = 113°57'44″ = 1.15325768857 rad
∠ C' = γ' = 89.5° = 89°30' = 1.58795229731 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    