40 70 100 triangle

Obtuse scalene triangle.

Sides: a = 40   b = 70   c = 100

Area: T = 1092.875464972
Perimeter: p = 210
Semiperimeter: s = 105

Angle ∠ A = α = 18.19548723388° = 18°11'42″ = 0.31875604293 rad
Angle ∠ B = β = 33.12329402077° = 33°7'23″ = 0.57881043646 rad
Angle ∠ C = γ = 128.6822187453° = 128°40'56″ = 2.24659278597 rad

Height: ha = 54.6443732486
Height: hb = 31.2254989992
Height: hc = 21.85774929944

Median: ma = 83.96442781187
Median: mb = 67.63987462923
Median: mc = 27.38661278753

Inradius: r = 10.40883299973
Circumradius: R = 64.0511261522

Vertex coordinates: A[100; 0] B[0; 0] C[33.5; 21.85774929944]
Centroid: CG[44.5; 7.28658309981]
Coordinates of the circumscribed circle: U[50; -40.03220384513]
Coordinates of the inscribed circle: I[35; 10.40883299973]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.8055127661° = 161°48'18″ = 0.31875604293 rad
∠ B' = β' = 146.8777059792° = 146°52'37″ = 0.57881043646 rad
∠ C' = γ' = 51.31878125465° = 51°19'4″ = 2.24659278597 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     