# 3 27 29 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 27   c = 29

Area: T = 31.26599984005
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 4.58797563582° = 4°34'47″ = 0.08799318274 rad
Angle ∠ B = β = 45.9410716098° = 45°56'27″ = 0.80218167566 rad
Angle ∠ C = γ = 129.4879527544° = 129°28'46″ = 2.26598440696 rad

Height: ha = 20.84399989337
Height: hb = 2.31655554371
Height: hc = 2.15658619587

Median: ma = 27.97876696671
Median: mb = 15.58804364509
Median: mc = 12.65996031684

Vertex coordinates: A[29; 0] B[0; 0] C[2.08662068966; 2.15658619587]
Centroid: CG[10.36220689655; 0.71986206529]
Coordinates of the circumscribed circle: U[14.5; -11.94441784742]
Coordinates of the inscribed circle: I[2.5; 1.06596609627]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 175.4220243642° = 175°25'13″ = 0.08799318274 rad
∠ B' = β' = 134.0599283902° = 134°3'33″ = 0.80218167566 rad
∠ C' = γ' = 50.52204724562° = 50°31'14″ = 2.26598440696 rad

# How did we calculate this triangle?

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.