# 9 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 19   c = 27

Area: T = 46.49993279521
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 10.4454554006° = 10°26'40″ = 0.18222918563 rad
Angle ∠ B = β = 22.50216797743° = 22°30'6″ = 0.39327283993 rad
Angle ∠ C = γ = 147.054376622° = 147°3'14″ = 2.5676572398 rad

Height: ha = 10.33331839894
Height: hb = 4.89546661002
Height: hc = 3.44443946631

Median: ma = 22.90774223779
Median: mb = 17.74111949992
Median: mc = 6.2254949799

Inradius: r = 1.69108846528
Circumradius: R = 24.82329394022

Vertex coordinates: A[27; 0] B[0; 0] C[8.31548148148; 3.44443946631]
Centroid: CG[11.77216049383; 1.14881315544]
Coordinates of the circumscribed circle: U[13.5; -20.83109462235]
Coordinates of the inscribed circle: I[8.5; 1.69108846528]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.5555445994° = 169°33'20″ = 0.18222918563 rad
∠ B' = β' = 157.4988320226° = 157°29'54″ = 0.39327283993 rad
∠ C' = γ' = 32.94662337803° = 32°56'46″ = 2.5676572398 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.