# 19 25 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 25   c = 27

Area: T = 228.6444237846
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 42.64658193109° = 42°38'45″ = 0.74443099592 rad
Angle ∠ B = β = 63.05497687879° = 63°2'59″ = 1.1100426058 rad
Angle ∠ C = γ = 74.30444119012° = 74°18'16″ = 1.29768566364 rad

Height: ha = 24.06878145101
Height: hb = 18.29215390276
Height: hc = 16.93766102108

Median: ma = 24.22329230276
Median: mb = 19.71767441531
Median: mc = 17.62881025638

Inradius: r = 6.44106827562
Circumradius: R = 14.02328768947

Vertex coordinates: A[27; 0] B[0; 0] C[8.61111111111; 16.93766102108]
Centroid: CG[11.87703703704; 5.64655367369]
Coordinates of the circumscribed circle: U[13.5; 3.79435572231]
Coordinates of the inscribed circle: I[10.5; 6.44106827562]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.3544180689° = 137°21'15″ = 0.74443099592 rad
∠ B' = β' = 116.9550231212° = 116°57'1″ = 1.1100426058 rad
∠ C' = γ' = 105.6965588099° = 105°41'44″ = 1.29768566364 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.