# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 1275   b = 300   c = 1309.819868974

Area: T = 191250
Perimeter: p = 2884.819868974
Semiperimeter: s = 1442.409934487

Angle ∠ A = α = 76.75994800848° = 76°45'34″ = 1.34397056596 rad
Angle ∠ B = β = 13.24105199152° = 13°14'26″ = 0.23110906672 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 300
Height: hb = 1275
Height: hc = 292.02551505

Median: ma = 704.5611033552
Median: mb = 1283.793320765
Median: mc = 654.9099344872

Vertex coordinates: A[1309.819868974; 0] B[0; 0] C[1241.107688963; 292.02551505]
Centroid: CG[850.3098526456; 97.34217168334]
Coordinates of the circumscribed circle: U[654.9099344872; -0]
Coordinates of the inscribed circle: I[1142.409934487; 132.5910655129]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 103.2410519915° = 103°14'26″ = 1.34397056596 rad
∠ B' = β' = 166.7599480085° = 166°45'34″ = 0.23110906672 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    