# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 8.14   b = 33   c = 33.98991100207

Area: T = 134.31
Perimeter: p = 75.12991100207
Semiperimeter: s = 37.56545550104

Angle ∠ A = α = 13.85663515017° = 13°51'23″ = 0.2421838956 rad
Angle ∠ B = β = 76.14436484983° = 76°8'37″ = 1.32989573708 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 33
Height: hb = 8.14
Height: hc = 7.90331195532

Median: ma = 33.25500360902
Median: mb = 18.39986303838
Median: mc = 16.99545550104

Inradius: r = 3.57554449896
Circumradius: R = 16.99545550104

Vertex coordinates: A[33.98991100207; 0] B[0; 0] C[1.94994361565; 7.90331195532]
Centroid: CG[11.98795153924; 2.63443731844]
Coordinates of the circumscribed circle: U[16.99545550104; -0]
Coordinates of the inscribed circle: I[4.56545550104; 3.57554449896]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.1443648498° = 166°8'37″ = 0.2421838956 rad
∠ B' = β' = 103.8566351502° = 103°51'23″ = 1.32989573708 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    