5 25 26 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 25   c = 26

Area: T = 62.16110810717
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 11.02766094668° = 11°1'36″ = 0.19224506405 rad
Angle ∠ B = β = 73.00438351829° = 73°14″ = 1.27441572905 rad
Angle ∠ C = γ = 95.97695553502° = 95°58'10″ = 1.67549847225 rad

Height: ha = 24.86444324287
Height: hb = 4.97328864857
Height: hc = 4.78216216209

Median: ma = 25.3822080293
Median: mb = 13.93773598648
Median: mc = 12.49899959968

Vertex coordinates: A[26; 0] B[0; 0] C[1.46215384615; 4.78216216209]
Centroid: CG[9.15438461538; 1.59438738736]
Coordinates of the circumscribed circle: U[13; -1.35993714675]
Coordinates of the inscribed circle: I[3; 2.22200386097]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.9733390533° = 168°58'24″ = 0.19224506405 rad
∠ B' = β' = 106.9966164817° = 106°59'46″ = 1.27441572905 rad
∠ C' = γ' = 84.03304446498° = 84°1'50″ = 1.67549847225 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    