# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 220   b = 510   c = 614.6989688817

Area: T = 53354.27105642
Perimeter: p = 1344.698968882
Semiperimeter: s = 672.3454844408

Angle ∠ A = α = 19.99004593484° = 19°54'2″ = 0.34773285383 rad
Angle ∠ B = β = 52.10995406516° = 52°5'58″ = 0.90993085231 rad
Angle ∠ C = γ = 108° = 1.88549555922 rad

Height: ha = 485.039882331
Height: hb = 209.2322433585
Height: hc = 173.5977415199

Median: ma = 553.9660022717
Median: mb = 384.8333349346
Median: mc = 244.5188192811

Inradius: r = 79.35655137782
Circumradius: R = 323.161149371

Vertex coordinates: A[614.6989688817; 0] B[0; 0] C[135.1444135781; 173.5977415199]
Centroid: CG[249.9454608199; 57.86658050665]
Coordinates of the circumscribed circle: U[307.3454844408; -99.86223934839]
Coordinates of the inscribed circle: I[162.3454844408; 79.35655137782]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.1099540652° = 160°5'58″ = 0.34773285383 rad
∠ B' = β' = 127.9900459348° = 127°54'2″ = 0.90993085231 rad
∠ C' = γ' = 72° = 1.88549555922 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    