42 45 46 triangle

Acute scalene triangle.

Sides: a = 42   b = 45   c = 46

Area: T = 847.4033054927
Perimeter: p = 133
Semiperimeter: s = 66.5

Angle ∠ A = α = 54.96595509522° = 54°57'34″ = 0.95992251195 rad
Angle ∠ B = β = 61.31098651567° = 61°18'36″ = 1.07700590109 rad
Angle ∠ C = γ = 63.73105838912° = 63°43'50″ = 1.11223085231 rad

Height: ha = 40.35325264251
Height: hb = 37.66223579968
Height: hc = 36.84436110838

Median: ma = 40.36770657839
Median: mb = 37.86548913903
Median: mc = 36.95326724338

Inradius: r = 12.74329030816
Circumradius: R = 25.6498951669

Vertex coordinates: A[46; 0] B[0; 0] C[20.16330434783; 36.84436110838]
Centroid: CG[22.05443478261; 12.28112036946]
Coordinates of the circumscribed circle: U[23; 11.35220360165]
Coordinates of the inscribed circle: I[21.5; 12.74329030816]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.0440449048° = 125°2'26″ = 0.95992251195 rad
∠ B' = β' = 118.6990134843° = 118°41'24″ = 1.07700590109 rad
∠ C' = γ' = 116.2699416109° = 116°16'10″ = 1.11223085231 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     