# 152 140 51 triangle

### Obtuse scalene triangle.

Sides: a = 152   b = 140   c = 51

Area: T = 3562.855516651
Perimeter: p = 343
Semiperimeter: s = 171.5

Angle ∠ A = α = 93.62655344513° = 93°37'32″ = 1.63440738401 rad
Angle ∠ B = β = 66.81107563566° = 66°48'39″ = 1.16660676742 rad
Angle ∠ C = γ = 19.56437091922° = 19°33'49″ = 0.34114511393 rad

Height: ha = 46.88796732435
Height: hb = 50.89879309501
Height: hc = 139.7219810451

Median: ma = 72.96991715727
Median: mb = 89.17767907025
Median: mc = 143.8811027241

Vertex coordinates: A[51; 0] B[0; 0] C[59.85329411765; 139.7219810451]
Centroid: CG[36.95109803922; 46.57332701504]
Coordinates of the circumscribed circle: U[25.5; 71.75661093708]
Coordinates of the inscribed circle: I[31.5; 20.77546656939]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 86.37444655487° = 86°22'28″ = 1.63440738401 rad
∠ B' = β' = 113.1899243643° = 113°11'21″ = 1.16660676742 rad
∠ C' = γ' = 160.4366290808° = 160°26'11″ = 0.34114511393 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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    