8 22 29 triangle

Obtuse scalene triangle.

Sides: a = 8   b = 22   c = 29

Area: T = 48.76992269777
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 8.79439559871° = 8°47'38″ = 0.15334834863 rad
Angle ∠ B = β = 24.86113826687° = 24°51'41″ = 0.43439129842 rad
Angle ∠ C = γ = 146.3454661344° = 146°20'41″ = 2.55441961832 rad

Height: ha = 12.19223067444
Height: hb = 4.43435660889
Height: hc = 3.3633394964

Median: ma = 25.42663642702
Median: mb = 18.2077141456
Median: mc = 7.98443597113

Vertex coordinates: A[29; 0] B[0; 0] C[7.25986206897; 3.3633394964]
Centroid: CG[12.08662068966; 1.12111316547]
Coordinates of the circumscribed circle: U[14.5; -21.77985900212]
Coordinates of the inscribed circle: I[7.5; 1.65331941348]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.2066044013° = 171°12'22″ = 0.15334834863 rad
∠ B' = β' = 155.1398617331° = 155°8'19″ = 0.43439129842 rad
∠ C' = γ' = 33.65553386559° = 33°39'19″ = 2.55441961832 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    