13 17 22 triangle

Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 22

Area: T = 110.3098657865
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 36.14989096752° = 36°8'56″ = 0.63109174948 rad
Angle ∠ B = β = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ C = γ = 93.37222866834° = 93°22'20″ = 1.63296538327 rad

Height: ha = 16.97105627485
Height: hb = 12.97774891606
Height: hc = 10.02880598059

Median: ma = 18.55439753153
Median: mb = 15.94552187191
Median: mc = 10.39223048454

Vertex coordinates: A[22; 0] B[0; 0] C[8.27327272727; 10.02880598059]
Centroid: CG[10.09109090909; 3.3432686602]
Coordinates of the circumscribed circle: U[11; -0.64881812161]
Coordinates of the inscribed circle: I[9; 4.24326406871]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.8511090325° = 143°51'4″ = 0.63109174948 rad
∠ B' = β' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ C' = γ' = 86.62877133166° = 86°37'40″ = 1.63296538327 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    