# 12 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 16   c = 22

Area: T = 93.6754969976
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 32.15772086093° = 32°9'26″ = 0.56112491685 rad
Angle ∠ B = β = 45.20771662976° = 45°12'26″ = 0.78990138974 rad
Angle ∠ C = γ = 102.6365625093° = 102°38'8″ = 1.79113295877 rad

Height: ha = 15.6122494996
Height: hb = 11.7099371247
Height: hc = 8.51659063615

Median: ma = 18.27656668825
Median: mb = 15.81113883008
Median: mc = 8.88881944173

Inradius: r = 3.7476998799
Circumradius: R = 11.27330220279

Vertex coordinates: A[22; 0] B[0; 0] C[8.45545454545; 8.51659063615]
Centroid: CG[10.15215151515; 2.83986354538]
Coordinates of the circumscribed circle: U[11; -2.46659735686]
Coordinates of the inscribed circle: I[9; 3.7476998799]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.8432791391° = 147°50'34″ = 0.56112491685 rad
∠ B' = β' = 134.7932833702° = 134°47'34″ = 0.78990138974 rad
∠ C' = γ' = 77.3644374907° = 77°21'52″ = 1.79113295877 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.