10 19 22 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 22

Area: T = 94.8265827178
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 26.9822098523° = 26°58'56″ = 0.47109264583 rad
Angle ∠ B = β = 59.54878781287° = 59°32'52″ = 1.03993065359 rad
Angle ∠ C = γ = 93.47700233483° = 93°28'12″ = 1.63113596593 rad

Height: ha = 18.96551654356
Height: hb = 9.98216660187
Height: hc = 8.62105297435

Median: ma = 19.93774020374
Median: mb = 14.20438727113
Median: mc = 10.46442247682

Vertex coordinates: A[22; 0] B[0; 0] C[5.06881818182; 8.62105297435]
Centroid: CG[9.02327272727; 2.87435099145]
Coordinates of the circumscribed circle: U[11; -0.66770123729]
Coordinates of the inscribed circle: I[6.5; 3.71986598893]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0187901477° = 153°1'4″ = 0.47109264583 rad
∠ B' = β' = 120.4522121871° = 120°27'8″ = 1.03993065359 rad
∠ C' = γ' = 86.53299766517° = 86°31'48″ = 1.63113596593 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    