5 21 23 triangle

Obtuse scalene triangle.

Sides: a = 5   b = 21   c = 23

Area: T = 50.08218080744
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 11.96987455547° = 11°58'8″ = 0.20988940173 rad
Angle ∠ B = β = 60.57436513216° = 60°34'25″ = 1.05772096555 rad
Angle ∠ C = γ = 107.4587603124° = 107°27'27″ = 1.87554889808 rad

Height: ha = 20.03327232298
Height: hb = 4.77696960071
Height: hc = 4.35549398326

Median: ma = 21.8880356487
Median: mb = 12.91331715701
Median: mc = 10.03774299499

Vertex coordinates: A[23; 0] B[0; 0] C[2.45765217391; 4.35549398326]
Centroid: CG[8.48655072464; 1.45216466109]
Coordinates of the circumscribed circle: U[11.5; -3.61765826867]
Coordinates of the inscribed circle: I[3.5; 2.04441554316]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.0311254445° = 168°1'53″ = 0.20988940173 rad
∠ B' = β' = 119.4266348678° = 119°25'35″ = 1.05772096555 rad
∠ C' = γ' = 72.54223968763° = 72°32'33″ = 1.87554889808 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    