# 10 14 22 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 14   c = 22

Area: T = 51.87548493974
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 19.68550548247° = 19°41'6″ = 0.34435690201 rad
Angle ∠ B = β = 28.13875265744° = 28°8'15″ = 0.49110924821 rad
Angle ∠ C = γ = 132.1777418601° = 132°10'39″ = 2.30769311514 rad

Height: ha = 10.37549698795
Height: hb = 7.41106927711
Height: hc = 4.71658953998

Median: ma = 17.74882393493
Median: mb = 15.58884572681
Median: mc = 5.19661524227

Inradius: r = 2.25554282347
Circumradius: R = 14.84334165871

Vertex coordinates: A[22; 0] B[0; 0] C[8.81881818182; 4.71658953998]
Centroid: CG[10.27327272727; 1.57219651333]
Coordinates of the circumscribed circle: U[11; -9.96662939942]
Coordinates of the inscribed circle: I[9; 2.25554282347]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.3154945175° = 160°18'54″ = 0.34435690201 rad
∠ B' = β' = 151.8622473426° = 151°51'45″ = 0.49110924821 rad
∠ C' = γ' = 47.82325813991° = 47°49'21″ = 2.30769311514 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.