# 8 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 22   c = 27

Area: T = 75.47547474325
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 14.7221668176° = 14°43'18″ = 0.25769415811 rad
Angle ∠ B = β = 44.33440313162° = 44°20'3″ = 0.77437748172 rad
Angle ∠ C = γ = 120.9444300508° = 120°56'39″ = 2.11108762554 rad

Height: ha = 18.86986868581
Height: hb = 6.86113406757
Height: hc = 5.5910722032

Median: ma = 24.33002057604
Median: mb = 16.59881926727
Median: mc = 9.57986220303

Inradius: r = 2.6488236752
Circumradius: R = 15.74403640345

Vertex coordinates: A[27; 0] B[0; 0] C[5.72222222222; 5.5910722032]
Centroid: CG[10.90774074074; 1.86435740107]
Coordinates of the circumscribed circle: U[13.5; -8.09437667337]
Coordinates of the inscribed circle: I[6.5; 2.6488236752]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.2788331824° = 165°16'42″ = 0.25769415811 rad
∠ B' = β' = 135.6665968684° = 135°39'57″ = 0.77437748172 rad
∠ C' = γ' = 59.05656994922° = 59°3'21″ = 2.11108762554 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    