16 18 29 triangle

Obtuse scalene triangle.

Sides: a = 16   b = 18   c = 29

Area: T = 128.368836643
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 29.46111189642° = 29°27'40″ = 0.51441935272 rad
Angle ∠ B = β = 33.59545228553° = 33°35'40″ = 0.58663350345 rad
Angle ∠ C = γ = 116.944435818° = 116°56'40″ = 2.04110640919 rad

Height: ha = 16.04660458038
Height: hb = 14.26331518256
Height: hc = 8.85329907883

Median: ma = 22.77105950735
Median: mb = 21.62217483104
Median: mc = 8.93302855497

Vertex coordinates: A[29; 0] B[0; 0] C[13.32875862069; 8.85329907883]
Centroid: CG[14.10991954023; 2.95109969294]
Coordinates of the circumscribed circle: U[14.5; -7.37703905901]
Coordinates of the inscribed circle: I[13.5; 4.07551862359]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.5398881036° = 150°32'20″ = 0.51441935272 rad
∠ B' = β' = 146.4055477145° = 146°24'20″ = 0.58663350345 rad
∠ C' = γ' = 63.05656418195° = 63°3'20″ = 2.04110640919 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    