# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 300   b = 400   c = 283.3632616651

Area: T = 42426.40768712
Perimeter: p = 983.3632616651
Semiperimeter: s = 491.6811308325

Angle ∠ A = α = 48.47113182445° = 48°28'17″ = 0.84659840961 rad
Angle ∠ B = β = 86.52986817555° = 86°31'43″ = 1.5110210394 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 282.8432712475
Height: hb = 212.1322034356
Height: hc = 299.4549570114

Median: ma = 312.4855497676
Median: mb = 212.4798672477
Median: mc = 323.9233458353

Vertex coordinates: A[283.3632616651; 0] B[0; 0] C[18.16546623625; 299.4549570114]
Centroid: CG[100.5099093005; 99.81765233712]
Coordinates of the circumscribed circle: U[141.6811308325; 141.6811308325]
Coordinates of the inscribed circle: I[91.68113083254; 86.28884273874]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.5298681755° = 131°31'43″ = 0.84659840961 rad
∠ B' = β' = 93.47113182445° = 93°28'17″ = 1.5110210394 rad
∠ C' = γ' = 135° = 0.78553981634 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    