# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 5979   b = 3600   c = 6979.143328553

Area: T = 10762200
Perimeter: p = 16558.14332855
Semiperimeter: s = 8279.072164277

Angle ∠ A = α = 58.94875438433° = 58°56'51″ = 1.0298828726 rad
Angle ∠ B = β = 31.05224561567° = 31°3'9″ = 0.54219676008 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 3600
Height: hb = 5979
Height: hc = 3084.103346648

Median: ma = 4679.435482164
Median: mb = 6244.072246915
Median: mc = 3489.572164277

Inradius: r = 1299.928835723
Circumradius: R = 3489.572164277

Vertex coordinates: A[6979.143328553; 0] B[0; 0] C[5122.182184059; 3084.103346648]
Centroid: CG[4033.775504204; 1028.034448883]
Coordinates of the circumscribed circle: U[3489.572164277; 0]
Coordinates of the inscribed circle: I[4679.072164277; 1299.928835723]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.0522456157° = 121°3'9″ = 1.0298828726 rad
∠ B' = β' = 148.9487543843° = 148°56'51″ = 0.54219676008 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    