# 16 22 24 triangle

### Acute scalene triangle.

Sides: a = 16   b = 22   c = 24

Area: T = 171.1587821907
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 40.41554390215° = 40°24'56″ = 0.70553824796 rad
Angle ∠ B = β = 63.05656418195° = 63°3'20″ = 1.10105285617 rad
Angle ∠ C = γ = 76.5298919159° = 76°31'44″ = 1.33656816123 rad

Height: ha = 21.39547277384
Height: hb = 15.56598019916
Height: hc = 14.26331518256

Median: ma = 21.58770331449
Median: mb = 17.17655640373
Median: mc = 15.03332963784

Inradius: r = 5.52112200615
Circumradius: R = 12.33994886454

Vertex coordinates: A[24; 0] B[0; 0] C[7.25; 14.26331518256]
Centroid: CG[10.41766666667; 4.75443839419]
Coordinates of the circumscribed circle: U[12; 2.87545399685]
Coordinates of the inscribed circle: I[9; 5.52112200615]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.5854560979° = 139°35'4″ = 0.70553824796 rad
∠ B' = β' = 116.944435818° = 116°56'40″ = 1.10105285617 rad
∠ C' = γ' = 103.4711080841° = 103°28'16″ = 1.33656816123 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    