# 15 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 19   c = 27

Area: T = 137.9432696436
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 32.53332047224° = 32°32' = 0.56878115386 rad
Angle ∠ B = β = 42.93773692694° = 42°56'15″ = 0.74993984659 rad
Angle ∠ C = γ = 104.5299426008° = 104°31'46″ = 1.82443826491 rad

Height: ha = 18.39223595248
Height: hb = 14.52202838354
Height: hc = 10.21879775138

Median: ma = 22.10876909694
Median: mb = 19.66659604393
Median: mc = 10.52437825899

Inradius: r = 4.52327113586
Circumradius: R = 13.94660083767

Vertex coordinates: A[27; 0] B[0; 0] C[10.98114814815; 10.21879775138]
Centroid: CG[12.66604938272; 3.40659925046]
Coordinates of the circumscribed circle: U[13.5; -3.49987354349]
Coordinates of the inscribed circle: I[11.5; 4.52327113586]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.4676795278° = 147°28' = 0.56878115386 rad
∠ B' = β' = 137.0632630731° = 137°3'45″ = 0.74993984659 rad
∠ C' = γ' = 75.47105739918° = 75°28'14″ = 1.82443826491 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.