8 11 16 triangle

Obtuse scalene triangle.

Sides: a = 8   b = 11   c = 16

Area: T = 40.26108680979
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 27.227653999° = 27°13'36″ = 0.47551927668 rad
Angle ∠ B = β = 38.98219890646° = 38°58'55″ = 0.68803640582 rad
Angle ∠ C = γ = 113.7911470945° = 113°47'29″ = 1.98660358287 rad

Height: ha = 10.06552170245
Height: hb = 7.3220157836
Height: hc = 5.03326085122

Median: ma = 13.13439255366
Median: mb = 11.39107857499
Median: mc = 5.3398539126

Vertex coordinates: A[16; 0] B[0; 0] C[6.219875; 5.03326085122]
Centroid: CG[7.406625; 1.67875361707]
Coordinates of the circumscribed circle: U[8; -3.52769979687]
Coordinates of the inscribed circle: I[6.5; 2.30106210342]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.773346001° = 152°46'24″ = 0.47551927668 rad
∠ B' = β' = 141.0188010935° = 141°1'5″ = 0.68803640582 rad
∠ C' = γ' = 66.20985290545° = 66°12'31″ = 1.98660358287 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    