15 16 26 triangle

Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 26

Area: T = 109.6511436379
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 31.81444665509° = 31°48'52″ = 0.55552671911 rad
Angle ∠ B = β = 34.21660511313° = 34°12'58″ = 0.59771827493 rad
Angle ∠ C = γ = 113.9699482318° = 113°58'10″ = 1.98991427132 rad

Height: ha = 14.62201915172
Height: hb = 13.70664295474
Height: hc = 8.43547258753

Median: ma = 20.242228248
Median: mb = 19.66596032513
Median: mc = 8.45657672626

Vertex coordinates: A[26; 0] B[0; 0] C[12.40438461538; 8.43547258753]
Centroid: CG[12.80112820513; 2.81215752918]
Coordinates of the circumscribed circle: U[13; -5.78796780501]
Coordinates of the inscribed circle: I[12.5; 3.84774188203]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1865533449° = 148°11'8″ = 0.55552671911 rad
∠ B' = β' = 145.7843948869° = 145°47'2″ = 0.59771827493 rad
∠ C' = γ' = 66.03105176822° = 66°1'50″ = 1.98991427132 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    