# Triangle calculator SAS

### 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:**h

_{a}= 17.48220836285

**Height:**h

_{b}= 20.14988421481

**Height:**h

_{c}= 12.28773673542

**Median:**m

_{a}= 21.76773001688

**Median:**m

_{b}= 23.4732704502

**Median:**m

_{c}= 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

Calculate another triangle

# 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.