13 16 22 triangle

Obtuse scalene triangle.

Sides: a = 13   b = 16   c = 22

Area: T = 102.9498712959
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 35.79884595862° = 35°47'54″ = 0.62548009869 rad
Angle ∠ B = β = 46.04879641864° = 46°2'53″ = 0.80436885889 rad
Angle ∠ C = γ = 98.15435762274° = 98°9'13″ = 1.71331030778 rad

Height: ha = 15.83882635322
Height: hb = 12.86985891199
Height: hc = 9.35989739054

Median: ma = 18.10438669902
Median: mb = 16.2021851746
Median: mc = 9.56655632349

Vertex coordinates: A[22; 0] B[0; 0] C[9.02327272727; 9.35989739054]
Centroid: CG[10.34109090909; 3.12196579685]
Coordinates of the circumscribed circle: U[11; -1.57660274736]
Coordinates of the inscribed circle: I[9.5; 4.03772044298]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.2021540414° = 144°12'6″ = 0.62548009869 rad
∠ B' = β' = 133.9522035814° = 133°57'7″ = 0.80436885889 rad
∠ C' = γ' = 81.84664237726° = 81°50'47″ = 1.71331030778 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    