# Triangle calculator SAS

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

### Obtuse scalene triangle.

Sides: a = 20.4   b = 17.7   c = 29.02444847202

Area: T = 178.3177253011
Perimeter: p = 67.12444847202
Semiperimeter: s = 33.56222423601

Angle ∠ A = α = 43.96436248033° = 43°57'49″ = 0.76773100039 rad
Angle ∠ B = β = 37.03663751967° = 37°2'11″ = 0.64664066902 rad
Angle ∠ C = γ = 99° = 1.72878759595 rad

Height: ha = 17.48220836285
Height: hb = 20.14988421481
Height: hc = 12.28773673542

Median: ma = 21.76773001688
Median: mb = 23.4732704502
Median: mc = 12.41545004604

Inradius: r = 5.31330315638
Circumradius: R = 14.69331392866

Vertex coordinates: A[29.02444847202; 0] B[0; 0] C[16.28443668438; 12.28773673542]
Centroid: CG[15.10329505213; 4.09657891181]
Coordinates of the circumscribed circle: U[14.51222423601; -2.29985133841]
Coordinates of the inscribed circle: I[15.86222423601; 5.31330315638]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.0366375197° = 136°2'11″ = 0.76773100039 rad
∠ B' = β' = 142.9643624803° = 142°57'49″ = 0.64664066902 rad
∠ C' = γ' = 81° = 1.72878759595 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    