43 80 56 triangle

Obtuse scalene triangle.

Sides: a = 43   b = 80   c = 56

Area: T = 1150.859921706
Perimeter: p = 179
Semiperimeter: s = 89.5

Angle ∠ A = α = 30.91657052964° = 30°54'57″ = 0.5439580848 rad
Angle ∠ B = β = 107.0866330888° = 107°5'11″ = 1.86990090579 rad
Angle ∠ C = γ = 41.99879638158° = 41°59'53″ = 0.73330027477 rad

Height: ha = 53.52883356774
Height: hb = 28.77114804266
Height: hc = 41.10221148951

Median: ma = 65.61882139349
Median: mb = 29.87547384926
Median: mc = 57.79770587487

Inradius: r = 12.85987622018
Circumradius: R = 41.8476995085

Vertex coordinates: A[56; 0] B[0; 0] C[-12.63439285714; 41.10221148951]
Centroid: CG[14.45553571429; 13.7010704965]
Coordinates of the circumscribed circle: U[28; 31.09993729462]
Coordinates of the inscribed circle: I[9.5; 12.85987622018]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.0844294704° = 149°5'3″ = 0.5439580848 rad
∠ B' = β' = 72.91436691122° = 72°54'49″ = 1.86990090579 rad
∠ C' = γ' = 138.0022036184° = 138°7″ = 0.73330027477 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     