# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 49   b = 31   c = 60.65993560088

Area: T = 755.3399379532
Perimeter: p = 140.6599356009
Semiperimeter: s = 70.33296780044

Angle ∠ A = α = 53.45325997546° = 53°27'9″ = 0.93329238595 rad
Angle ∠ B = β = 30.54774002454° = 30°32'51″ = 0.53331527122 rad
Angle ∠ C = γ = 96° = 1.67655160819 rad

Height: ha = 30.83301787564
Height: hb = 48.7321572873
Height: hc = 24.90442993276

Median: ma = 41.47332291449
Median: mb = 52.91552977475
Median: mc = 27.58882335815

Inradius: r = 10.74399806307
Circumradius: R = 30.49767423499

Vertex coordinates: A[60.65993560088; 0] B[0; 0] C[42.19992402183; 24.90442993276]
Centroid: CG[34.28661987424; 8.30114331092]
Coordinates of the circumscribed circle: U[30.33296780044; -3.18877776125]
Coordinates of the inscribed circle: I[39.33296780044; 10.74399806307]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.5477400245° = 126°32'51″ = 0.93329238595 rad
∠ B' = β' = 149.4532599755° = 149°27'9″ = 0.53331527122 rad
∠ C' = γ' = 84° = 1.67655160819 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    