Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 119   b = 111   c = 90

Area: T = 4743.501081691
Perimeter: p = 320
Semiperimeter: s = 160

Angle ∠ A = α = 71.74109799509° = 71°44'28″ = 1.25221163088 rad
Angle ∠ B = β = 62.35110950415° = 62°21'4″ = 1.08882319007 rad
Angle ∠ C = γ = 45.90879250076° = 45°54'29″ = 0.80112444441 rad

Height: ha = 79.72327028052
Height: hb = 85.46884831875
Height: hc = 105.4111129265

Median: ma = 81.67215984905
Median: mb = 89.72331854093
Median: mc = 105.9065618359

Inradius: r = 29.64768801057
Circumradius: R = 62.65546745688

Vertex coordinates: A[90; 0] B[0; 0] C[55.22222222222; 105.4111129265]
Centroid: CG[48.40774074074; 35.13770430882]
Coordinates of the circumscribed circle: U[45; 43.59659659294]
Coordinates of the inscribed circle: I[49; 29.64768801057]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.2599020049° = 108°15'32″ = 1.25221163088 rad
∠ B' = β' = 117.6498904958° = 117°38'56″ = 1.08882319007 rad
∠ C' = γ' = 134.0922074992° = 134°5'31″ = 0.80112444441 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     