# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 288   b = 32   c = 289.772232442

Area: T = 4608
Perimeter: p = 609.772232442
Semiperimeter: s = 304.886616221

Angle ∠ A = α = 83.66598082541° = 83°39'35″ = 1.46601391056 rad
Angle ∠ B = β = 6.34401917459° = 6°20'25″ = 0.11106572212 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 32
Height: hb = 288
Height: hc = 31.80442795096

Median: ma = 147.5132711317
Median: mb = 288.4444102037
Median: mc = 144.886616221

Inradius: r = 15.11438377898
Circumradius: R = 144.886616221

Vertex coordinates: A[289.772232442; 0] B[0; 0] C[286.2398515586; 31.80442795096]
Centroid: CG[192.0043613336; 10.60114265032]
Coordinates of the circumscribed circle: U[144.886616221; 0]
Coordinates of the inscribed circle: I[272.886616221; 15.11438377898]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 96.34401917459° = 96°20'25″ = 1.46601391056 rad
∠ B' = β' = 173.6659808254° = 173°39'35″ = 0.11106572212 rad
∠ C' = γ' = 90° = 1.57107963268 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    