400 450 90 triangle

Obtuse scalene triangle.

Sides: a = 400   b = 450   c = 90

Area: T = 15812.65331613
Perimeter: p = 940
Semiperimeter: s = 470

Angle ∠ A = α = 51.34404624624° = 51°20'26″ = 0.89660601095 rad
Angle ∠ B = β = 118.5440365485° = 118°32'25″ = 2.06989196742 rad
Angle ∠ C = γ = 10.11991720527° = 10°7'9″ = 0.17766128699 rad

Height: ha = 79.06332658066
Height: hb = 70.27884584947
Height: hc = 351.3922292474

Median: ma = 255.5398646784
Median: mb = 182.8255052988
Median: mc = 423.3549737215

Inradius: r = 33.64439428964
Circumradius: R = 256.1244001373

Vertex coordinates: A[90; 0] B[0; 0] C[-191.1111111111; 351.3922292474]
Centroid: CG[-33.70437037037; 117.1310764158]
Coordinates of the circumscribed circle: U[45; 252.1439850241]
Coordinates of the inscribed circle: I[20; 33.64439428964]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6659537538° = 128°39'34″ = 0.89660601095 rad
∠ B' = β' = 61.46596345151° = 61°27'35″ = 2.06989196742 rad
∠ C' = γ' = 169.8810827947° = 169°52'51″ = 0.17766128699 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     