40 75 85 triangle

Right scalene triangle.

Sides: a = 40   b = 75   c = 85

Area: T = 1500
Perimeter: p = 200
Semiperimeter: s = 100

Angle ∠ A = α = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ B = β = 61.92875130641° = 61°55'39″ = 1.08108390005 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 75
Height: hb = 40
Height: hc = 35.29441176471

Median: ma = 77.62108734813
Median: mb = 54.82992804987
Median: mc = 42.5

Inradius: r = 15
Circumradius: R = 42.5

Vertex coordinates: A[85; 0] B[0; 0] C[18.82435294118; 35.29441176471]
Centroid: CG[34.60878431373; 11.76547058824]
Coordinates of the circumscribed circle: U[42.5; 0]
Coordinates of the inscribed circle: I[25; 15]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ B' = β' = 118.0722486936° = 118°4'21″ = 1.08108390005 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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     