# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 120.32   b = 204.61   c = 179.9550058537

Area: T = 10753.57215001
Perimeter: p = 504.8880058537
Semiperimeter: s = 252.4440029269

Angle ∠ A = α = 35.74110171069° = 35°44'28″ = 0.62437984265 rad
Angle ∠ B = β = 83.37879828931° = 83°22'41″ = 1.45552203252 rad
Angle ∠ C = γ = 60.881° = 60°52'52″ = 1.06325739019 rad

Height: ha = 178.7549526264
Height: hb = 105.1132863497
Height: hc = 119.5177288157

Median: ma = 183.0422105085
Median: mb = 113.8565829709
Median: mc = 141.6888289418

Vertex coordinates: A[179.9550058537; 0] B[0; 0] C[13.87551659994; 119.5177288157]
Centroid: CG[64.60884081789; 39.83990960525]
Coordinates of the circumscribed circle: U[89.97550292687; 50.11985462409]
Coordinates of the inscribed circle: I[47.83300292687; 42.59985194631]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.2598982893° = 144°15'32″ = 0.62437984265 rad
∠ B' = β' = 96.62220171069° = 96°37'19″ = 1.45552203252 rad
∠ C' = γ' = 119.119° = 119°7'8″ = 1.06325739019 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    