12.81 14.32 6.4 triangle

Obtuse scalene triangle.

Sides: a = 12.81   b = 14.32   c = 6.4

Area: T = 40.99219999697
Perimeter: p = 33.53
Semiperimeter: s = 16.765

Angle ∠ A = α = 63.45110808894° = 63°27'4″ = 1.10774302755 rad
Angle ∠ B = β = 90.0022201426° = 90°8″ = 1.57108347489 rad
Angle ∠ C = γ = 26.54767176847° = 26°32'48″ = 0.46333276292 rad

Height: ha = 6.43999999953
Height: hb = 5.72551396606
Height: hc = 12.81099999905

Median: ma = 9.05546769683
Median: mb = 7.16597800246
Median: mc = 13.20437589345

Inradius: r = 2.44550939439
Circumradius: R = 7.16600000053

Vertex coordinates: A[6.4; 0] B[0; 0] C[-00.0004921875; 12.81099999905]
Centroid: CG[2.13331692708; 4.27699999968]
Coordinates of the circumscribed circle: U[3.2; 6.40551229555]
Coordinates of the inscribed circle: I[2.445; 2.44550939439]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.5498919111° = 116°32'56″ = 1.10774302755 rad
∠ B' = β' = 89.9987798574° = 89°59'52″ = 1.57108347489 rad
∠ C' = γ' = 153.4533282315° = 153°27'12″ = 0.46333276292 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     