17 19 26 triangle

Obtuse scalene triangle.

Sides: a = 17   b = 19   c = 26

Area: T = 161.3699142032
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 40.79221107438° = 40°47'32″ = 0.71219566413 rad
Angle ∠ B = β = 46.90112441381° = 46°54'4″ = 0.81985811335 rad
Angle ∠ C = γ = 92.30766451181° = 92°18'24″ = 1.61110548788 rad

Height: ha = 18.98546049449
Height: hb = 16.9866225477
Height: hc = 12.41330109255

Median: ma = 21.12546301743
Median: mb = 19.80553023203
Median: mc = 12.49899959968

Vertex coordinates: A[26; 0] B[0; 0] C[11.61553846154; 12.41330109255]
Centroid: CG[12.53884615385; 4.13876703085]
Coordinates of the circumscribed circle: U[13; -0.52436441053]
Coordinates of the inscribed circle: I[12; 5.20554561946]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.2087889256° = 139°12'28″ = 0.71219566413 rad
∠ B' = β' = 133.0998755862° = 133°5'56″ = 0.81985811335 rad
∠ C' = γ' = 87.69333548819° = 87°41'36″ = 1.61110548788 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    