# 22 23 28 triangle

### Acute scalene triangle.

Sides: a = 22   b = 23   c = 28

Area: T = 246.4377492075
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 49.9376699829° = 49°56'12″ = 0.87215598296 rad
Angle ∠ B = β = 53.14217280483° = 53°8'30″ = 0.92774981246 rad
Angle ∠ C = γ = 76.92215721227° = 76°55'18″ = 1.34325346994 rad

Height: ha = 22.40334083704
Height: hb = 21.42993471369
Height: hc = 17.60326780053

Median: ma = 23.14108729308
Median: mb = 22.43997767846
Median: mc = 17.62110101867

Inradius: r = 6.75217121116
Circumradius: R = 14.37328130415

Vertex coordinates: A[28; 0] B[0; 0] C[13.19664285714; 17.60326780053]
Centroid: CG[13.73221428571; 5.86875593351]
Coordinates of the circumscribed circle: U[14; 3.25223460341]
Coordinates of the inscribed circle: I[13.5; 6.75217121116]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.0633300171° = 130°3'48″ = 0.87215598296 rad
∠ B' = β' = 126.8588271952° = 126°51'30″ = 0.92774981246 rad
∠ C' = γ' = 103.0788427877° = 103°4'42″ = 1.34325346994 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    