# Triangle calculator SAS

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

### Acute isosceles triangle.

Sides: a = 58   b = 58   c = 52.66328979698

Area: T = 1360.767658454
Perimeter: p = 168.663289797
Semiperimeter: s = 84.33114489849

Angle ∠ A = α = 63° = 1.10995574288 rad
Angle ∠ B = β = 63° = 1.10995574288 rad
Angle ∠ C = γ = 54° = 0.94224777961 rad

Height: ha = 46.92329856737
Height: hb = 46.92329856737
Height: hc = 51.67883784029

Median: ma = 47.19884153472
Median: mb = 47.19884153472
Median: mc = 51.67883784029

Inradius: r = 16.13659326908
Circumradius: R = 32.54774608914

Vertex coordinates: A[52.66328979698; 0] B[0; 0] C[26.33114489849; 51.67883784029]
Centroid: CG[26.33114489849; 17.22661261343]
Coordinates of the circumscribed circle: U[26.33114489849; 19.13109175115]
Coordinates of the inscribed circle: I[26.33114489849; 16.13659326908]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 117° = 1.10995574288 rad
∠ B' = β' = 117° = 1.10995574288 rad
∠ C' = γ' = 126° = 0.94224777961 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    