40 36 36 triangle

Acute isosceles triangle.

Sides: a = 40   b = 36   c = 36

Area: T = 598.6655181884
Perimeter: p = 112
Semiperimeter: s = 56

Angle ∠ A = α = 67.49879771918° = 67°29'53″ = 1.17880619404 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 56.25110114041° = 56°15'4″ = 0.98217653566 rad

Height: ha = 29.93332590942
Height: hb = 33.25991767713
Height: hc = 33.25991767713

Median: ma = 29.93332590942
Median: mb = 33.52661092285
Median: mc = 33.52661092285

Inradius: r = 10.69904496765
Circumradius: R = 21.64881605949

Vertex coordinates: A[36; 0] B[0; 0] C[22.22222222222; 33.25991767713]
Centroid: CG[19.40774074074; 11.08663922571]
Coordinates of the circumscribed circle: U[18; 12.02767558861]
Coordinates of the inscribed circle: I[20; 10.69904496765]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5022022808° = 112°30'7″ = 1.17880619404 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 123.7498988596° = 123°44'56″ = 0.98217653566 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     