40.7 52.5 84.49 triangle

Obtuse scalene triangle.

Sides: a = 40.7   b = 52.5   c = 84.49

Area: T = 822.8276949928
Perimeter: p = 177.69
Semiperimeter: s = 88.845

Angle ∠ A = α = 21.77773020487° = 21°46'38″ = 0.3880085623 rad
Angle ∠ B = β = 28.5921567239° = 28°35'30″ = 0.49990169866 rad
Angle ∠ C = γ = 129.6311130712° = 129°37'52″ = 2.2622490044 rad

Height: ha = 40.43437567532
Height: hb = 31.34657885687
Height: hc = 19.47774991106

Median: ma = 67.33296557989
Median: mb = 60.89771473059
Median: mc = 20.53660652268

Inradius: r = 9.26113759911
Circumradius: R = 54.85217545262

Vertex coordinates: A[84.49; 0] B[0; 0] C[35.73767741745; 19.47774991106]
Centroid: CG[40.07655913915; 6.49224997035]
Coordinates of the circumscribed circle: U[42.245; -34.98767824986]
Coordinates of the inscribed circle: I[36.345; 9.26113759911]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.2232697951° = 158°13'22″ = 0.3880085623 rad
∠ B' = β' = 151.4088432761° = 151°24'30″ = 0.49990169866 rad
∠ C' = γ' = 50.36988692877° = 50°22'8″ = 2.2622490044 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     