7 19 20 triangle

Acute scalene triangle.

Sides: a = 7   b = 19   c = 20

Area: T = 66.45329909033
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 20.47221827795° = 20°28'20″ = 0.35773069946 rad
Angle ∠ B = β = 71.68223015888° = 71°40'56″ = 1.25110921781 rad
Angle ∠ C = γ = 87.84655156316° = 87°50'44″ = 1.53331934809 rad

Height: ha = 18.98765688295
Height: hb = 6.9955051674
Height: hc = 6.64552990903

Median: ma = 19.19898410624
Median: mb = 11.58766302263
Median: mc = 10.2476950766

Vertex coordinates: A[20; 0] B[0; 0] C[2.2; 6.64552990903]
Centroid: CG[7.4; 2.21550996968]
Coordinates of the circumscribed circle: U[10; 0.37662057909]
Coordinates of the inscribed circle: I[4; 2.88992604741]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.528781722° = 159°31'40″ = 0.35773069946 rad
∠ B' = β' = 108.3187698411° = 108°19'4″ = 1.25110921781 rad
∠ C' = γ' = 92.15444843684° = 92°9'16″ = 1.53331934809 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    