# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 13.1   b = 8.7   c = 6.94875134668

Area: T = 27.77546332492
Perimeter: p = 28.74875134668
Semiperimeter: s = 14.37437567334

Angle ∠ A = α = 113.215531894° = 113°12'55″ = 1.97659800792 rad
Angle ∠ B = β = 37.61546810604° = 37°36'53″ = 0.65765000316 rad
Angle ∠ C = γ = 29.17° = 29°10'12″ = 0.50991125428 rad

Height: ha = 4.24404020228
Height: hb = 6.38549731607
Height: hc = 7.99655608239

Median: ma = 4.36876620388
Median: mb = 9.5440255326
Median: mc = 10.56332861439

Inradius: r = 1.93223155223
Circumradius: R = 7.12770797953

Vertex coordinates: A[6.94875134668; 0] B[0; 0] C[10.37769459434; 7.99655608239]
Centroid: CG[5.77548198034; 2.66551869413]
Coordinates of the circumscribed circle: U[3.47437567334; 6.22332050075]
Coordinates of the inscribed circle: I[5.67437567334; 1.93223155223]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 66.78546810604° = 66°47'5″ = 1.97659800792 rad
∠ B' = β' = 142.385531894° = 142°23'7″ = 0.65765000316 rad
∠ C' = γ' = 150.83° = 150°49'48″ = 0.50991125428 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    