# Triangle calculator SAS

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

### Acute scalene triangle.

Sides: a = 130   b = 110   c = 80.39221168203

Area: T = 4401.987954858
Perimeter: p = 320.392211682
Semiperimeter: s = 160.196605841

Angle ∠ A = α = 84.60549857238° = 84°36'18″ = 1.47766355645 rad
Angle ∠ B = β = 57.39550142762° = 57°23'42″ = 1.00217319733 rad
Angle ∠ C = γ = 38° = 0.66332251158 rad

Height: ha = 67.72327622858
Height: hb = 80.03659917923
Height: hc = 109.5132716487

Median: ma = 71.10986930229
Median: mb = 93.04400248464
Median: mc = 113.5098928672

Inradius: r = 27.47987007387
Circumradius: R = 65.28992214652

Vertex coordinates: A[80.39221168203; 0] B[0; 0] C[70.05497318165; 109.5132716487]
Centroid: CG[50.14772828789; 36.50442388291]
Coordinates of the circumscribed circle: U[40.19660584101; 51.44986086092]
Coordinates of the inscribed circle: I[50.19660584101; 27.47987007387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.39550142762° = 95°23'42″ = 1.47766355645 rad
∠ B' = β' = 122.6054985724° = 122°36'18″ = 1.00217319733 rad
∠ C' = γ' = 142° = 0.66332251158 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    