# Triangle calculator SAS

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

### Acute isosceles triangle.

Sides: a = 362.25   b = 362.25   c = 244.8210662193

Area: T = 41734.70221054
Perimeter: p = 969.3210662193
Semiperimeter: s = 484.6660331097

Angle ∠ A = α = 70.25° = 70°15' = 1.22660937995 rad
Angle ∠ B = β = 70.25° = 70°15' = 1.22660937995 rad
Angle ∠ C = γ = 39.5° = 39°30' = 0.68994050545 rad

Height: ha = 230.4199335296
Height: hb = 230.4199335296
Height: hc = 340.9411011527

Median: ma = 250.5499084898
Median: mb = 250.5499084898
Median: mc = 340.9411011527

Inradius: r = 86.11112400327
Circumradius: R = 192.4455405603

Vertex coordinates: A[244.8210662193; 0] B[0; 0] C[122.4110331097; 340.9411011527]
Centroid: CG[122.4110331097; 113.6477003842]
Coordinates of the circumscribed circle: U[122.4110331097; 148.4965605923]
Coordinates of the inscribed circle: I[122.4110331097; 86.11112400327]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 109.75° = 109°45' = 1.22660937995 rad
∠ B' = β' = 109.75° = 109°45' = 1.22660937995 rad
∠ C' = γ' = 140.5° = 140°30' = 0.68994050545 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    