# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 8.2   b = 9.4   c = 4.98664722496

Area: T = 20.42330884435
Perimeter: p = 22.58664722496
Semiperimeter: s = 11.29332361248

Angle ∠ A = α = 60.62546907843° = 60°37'29″ = 1.05881004622 rad
Angle ∠ B = β = 87.37553092157° = 87°22'31″ = 1.52549868308 rad
Angle ∠ C = γ = 32° = 0.55985053606 rad

Height: ha = 4.98112410838
Height: hb = 4.34553379667
Height: hc = 8.19113976138

Median: ma = 6.30989185086
Median: mb = 4.89551458352
Median: mc = 8.46107194508

Vertex coordinates: A[4.98664722496; 0] B[0; 0] C[0.37655065013; 8.19113976138]
Centroid: CG[1.78773262503; 2.73304658713]
Coordinates of the circumscribed circle: U[2.49332361248; 3.99900118596]
Coordinates of the inscribed circle: I[1.89332361248; 1.80884354403]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119.3755309216° = 119°22'31″ = 1.05881004622 rad
∠ B' = β' = 92.62546907843° = 92°37'29″ = 1.52549868308 rad
∠ C' = γ' = 148° = 0.55985053606 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    