# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 10.1   b = 6.2   c = 6.37990746246

Area: T = 18.93299982863
Perimeter: p = 22.67990746246
Semiperimeter: s = 11.34395373123

Angle ∠ A = α = 106.8111228759° = 106°48'40″ = 1.86442076199 rad
Angle ∠ B = β = 35.98987712412° = 35°59'20″ = 0.62881225519 rad
Angle ∠ C = γ = 37.2° = 37°12' = 0.64992624817 rad

Height: ha = 3.74985145121
Height: hb = 6.10664510601
Height: hc = 5.93550295772

Median: ma = 3.75501728671
Median: mb = 7.85875630149
Median: mc = 7.74993129846

Inradius: r = 1.66993801312
Circumradius: R = 5.27554581241

Vertex coordinates: A[6.37990746246; 0] B[0; 0] C[8.17222349402; 5.93550295772]
Centroid: CG[4.85504365216; 1.97883431924]
Coordinates of the circumscribed circle: U[3.19895373123; 4.20220602271]
Coordinates of the inscribed circle: I[5.14395373123; 1.66993801312]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 73.18987712412° = 73°11'20″ = 1.86442076199 rad
∠ B' = β' = 144.0111228759° = 144°40″ = 0.62881225519 rad
∠ C' = γ' = 142.8° = 142°48' = 0.64992624817 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    