5 11 12 triangle

Acute scalene triangle.

Sides: a = 5   b = 11   c = 12

Area: T = 27.49554541697
Perimeter: p = 28
Semiperimeter: s = 14

Angle ∠ A = α = 24.62199773287° = 24°37'12″ = 0.43296996662 rad
Angle ∠ B = β = 66.42218215218° = 66°25'19″ = 1.15992794807 rad
Angle ∠ C = γ = 88.95882011495° = 88°57'30″ = 1.55326135067 rad

Height: ha = 10.99881816679
Height: hb = 4.99991734854
Height: hc = 4.5832575695

Median: ma = 11.23661025271
Median: mb = 7.36554599313
Median: mc = 6.08327625303

Vertex coordinates: A[12; 0] B[0; 0] C[2; 4.5832575695]
Centroid: CG[4.66766666667; 1.52875252317]
Coordinates of the circumscribed circle: U[6; 0.10991089451]
Coordinates of the inscribed circle: I[3; 1.96439610121]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.3880022671° = 155°22'48″ = 0.43296996662 rad
∠ B' = β' = 113.5788178478° = 113°34'41″ = 1.15992794807 rad
∠ C' = γ' = 91.04217988505° = 91°2'30″ = 1.55326135067 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    