70 50 80 triangle

Acute scalene triangle.

Sides: a = 70   b = 50   c = 80

Area: T = 1732.051080757
Perimeter: p = 200
Semiperimeter: s = 100

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 38.21332107017° = 38°12'48″ = 0.66769463445 rad
Angle ∠ C = γ = 81.78767892983° = 81°47'12″ = 1.42774487579 rad

Height: ha = 49.48771659305
Height: hb = 69.28220323028
Height: hc = 43.30112701892

Median: ma = 56.7899083458
Median: mb = 70.88772343938
Median: mc = 45.82657569496

Vertex coordinates: A[80; 0] B[0; 0] C[55; 43.30112701892]
Centroid: CG[45; 14.43437567297]
Coordinates of the circumscribed circle: U[40; 5.77435026919]
Coordinates of the inscribed circle: I[50; 17.32105080757]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 141.7876789298° = 141°47'12″ = 0.66769463445 rad
∠ C' = γ' = 98.21332107017° = 98°12'48″ = 1.42774487579 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    