# 7 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 22   c = 27

Area: T = 59.39769696197
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 11.53663623724° = 11°32'11″ = 0.20113475071 rad
Angle ∠ B = β = 38.9422441269° = 38°56'33″ = 0.68796738189 rad
Angle ∠ C = γ = 129.5211196359° = 129°31'16″ = 2.26105713276 rad

Height: ha = 16.97105627485
Height: hb = 5.43997245109
Height: hc = 4.43997755274

Median: ma = 24.37772434865
Median: mb = 16.37107055437
Median: mc = 9.17987798753

Inradius: r = 2.12113203436
Circumradius: R = 17.50108928344

Vertex coordinates: A[27; 0] B[0; 0] C[5.44444444444; 4.43997755274]
Centroid: CG[10.81548148148; 1.46765918425]
Coordinates of the circumscribed circle: U[13.5; -11.13769318037]
Coordinates of the inscribed circle: I[6; 2.12113203436]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.4643637628° = 168°27'49″ = 0.20113475071 rad
∠ B' = β' = 141.0587558731° = 141°3'27″ = 0.68796738189 rad
∠ C' = γ' = 50.47988036414° = 50°28'44″ = 2.26105713276 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    