# Triangle calculator SAS

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

### Right scalene triangle.

Sides: a = 38   b = 120   c = 125.8732951821

Area: T = 2280
Perimeter: p = 283.8732951821
Semiperimeter: s = 141.936647591

Angle ∠ A = α = 17.57112587783° = 17°34'17″ = 0.30766763194 rad
Angle ∠ B = β = 72.42987412217° = 72°25'43″ = 1.26441200074 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 120
Height: hb = 38
Height: hc = 36.22770045633

Median: ma = 121.4954855858
Median: mb = 71.02111236183
Median: mc = 62.93664759102

Inradius: r = 16.06435240898
Circumradius: R = 62.93664759102

Vertex coordinates: A[125.8732951821; 0] B[0; 0] C[11.47218847784; 36.22770045633]
Centroid: CG[45.78216121996; 12.07656681878]
Coordinates of the circumscribed circle: U[62.93664759102; 0]
Coordinates of the inscribed circle: I[21.93664759102; 16.06435240898]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.4298741222° = 162°25'43″ = 0.30766763194 rad
∠ B' = β' = 107.5711258778° = 107°34'17″ = 1.26441200074 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    