# 14 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 19   c = 27

Area: T = 125.857706178
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 29.38546812566° = 29°23'5″ = 0.51328594376 rad
Angle ∠ B = β = 41.7522205202° = 41°45'8″ = 0.72987134507 rad
Angle ∠ C = γ = 108.8633113541° = 108°51'47″ = 1.99000197653 rad

Height: ha = 17.98795802543
Height: hb = 13.24881117664
Height: hc = 9.32327453171

Median: ma = 22.27110574513
Median: mb = 19.29437813816
Median: mc = 9.81107084352

Inradius: r = 4.19552353927
Circumradius: R = 14.26661839916

Vertex coordinates: A[27; 0] B[0; 0] C[10.44444444444; 9.32327453171]
Centroid: CG[12.48114814815; 3.10875817724]
Coordinates of the circumscribed circle: U[13.5; -4.61223752755]
Coordinates of the inscribed circle: I[11; 4.19552353927]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6155318743° = 150°36'55″ = 0.51328594376 rad
∠ B' = β' = 138.2487794798° = 138°14'52″ = 0.72987134507 rad
∠ C' = γ' = 71.13768864586° = 71°8'13″ = 1.99000197653 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.