# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 26.7   b = 31.2   c = 27.03215698938

Area: T = 341.1933209487
Perimeter: p = 84.93215698938
Semiperimeter: s = 42.46657849469

Angle ∠ A = α = 54.00985117211° = 54°31″ = 0.94326263536 rad
Angle ∠ B = β = 70.99114882789° = 70°59'29″ = 1.23990352114 rad
Angle ∠ C = γ = 55° = 0.96599310886 rad

Height: ha = 25.55875437818
Height: hb = 21.87113595825
Height: hc = 25.24440543281

Median: ma = 25.95986283432
Median: mb = 21.87332230241
Median: mc = 25.76999719313

Inradius: r = 8.03545438078
Circumradius: R = 16.54997268103

Vertex coordinates: A[27.03215698938; 0] B[0; 0] C[8.6966420015; 25.24440543281]
Centroid: CG[11.90993299696; 8.4154684776]
Coordinates of the circumscribed circle: U[13.51657849469; 9.46438545046]
Coordinates of the inscribed circle: I[11.26657849469; 8.03545438078]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.9911488279° = 125°59'29″ = 0.94326263536 rad
∠ B' = β' = 109.0098511721° = 109°31″ = 1.23990352114 rad
∠ C' = γ' = 125° = 0.96599310886 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    