# 16 22 27 triangle

### Acute scalene triangle.

Sides: a = 16   b = 22   c = 27

Area: T = 175.9798514313
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 36.33660575146° = 36°20'10″ = 0.63441838408 rad
Angle ∠ B = β = 54.5599225472° = 54°33'33″ = 0.95222381218 rad
Angle ∠ C = γ = 89.10547170134° = 89°6'17″ = 1.55551706909 rad

Height: ha = 21.99773142892
Height: hb = 15.99880467558
Height: hc = 13.03554455047

Median: ma = 23.29216293977
Median: mb = 19.27443352674
Median: mc = 13.7022189606

Inradius: r = 5.41547235173
Circumradius: R = 13.5021648251

Vertex coordinates: A[27; 0] B[0; 0] C[9.27877777778; 13.03554455047]
Centroid: CG[12.09325925926; 4.34551485016]
Coordinates of the circumscribed circle: U[13.5; 0.21109632539]
Coordinates of the inscribed circle: I[10.5; 5.41547235173]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.6643942485° = 143°39'50″ = 0.63441838408 rad
∠ B' = β' = 125.4410774528° = 125°26'27″ = 0.95222381218 rad
∠ C' = γ' = 90.89552829866° = 90°53'43″ = 1.55551706909 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.