# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 1070   b = 2445   c = 2668.881085159

Area: T = 1308075
Perimeter: p = 6183.881085159
Semiperimeter: s = 3091.94404258

Angle ∠ A = α = 23.63655240275° = 23°38'8″ = 0.41325177147 rad
Angle ∠ B = β = 66.36444759725° = 66°21'52″ = 1.15882786121 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 2445
Height: hb = 1070
Height: hc = 980.2422335823

Median: ma = 2502.848837735
Median: mb = 1624.625495672
Median: mc = 1334.44404258

Vertex coordinates: A[2668.881085159; 0] B[0; 0] C[428.981130852; 980.2422335823]
Centroid: CG[1032.621072004; 326.7477445275]
Coordinates of the circumscribed circle: U[1334.44404258; -0]
Coordinates of the inscribed circle: I[646.9440425796; 423.0659574204]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.3644475972° = 156°21'52″ = 0.41325177147 rad
∠ B' = β' = 113.6365524028° = 113°38'8″ = 1.15882786121 rad
∠ C' = γ' = 90° = 1.57107963268 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    