48.5 36 60 triangle

Acute scalene triangle.

Sides: a = 48.5   b = 36   c = 60

Area: T = 872.9176660451
Perimeter: p = 144.5
Semiperimeter: s = 72.25

Angle ∠ A = α = 53.92659024583° = 53°55'33″ = 0.941118455 rad
Angle ∠ B = β = 36.86657955185° = 36°51'57″ = 0.64334295132 rad
Angle ∠ C = γ = 89.20883020232° = 89°12'30″ = 1.55769785904 rad

Height: ha = 35.99765633176
Height: hb = 48.49553700251
Height: hc = 29.0977222015

Median: ma = 43.12769927076
Median: mb = 51.49987863935
Median: mc = 30.39994243367

Inradius: r = 12.08218914941
Circumradius: R = 30.00328641754

Vertex coordinates: A[60; 0] B[0; 0] C[38.80220833333; 29.0977222015]
Centroid: CG[32.93440277778; 9.6999074005]
Coordinates of the circumscribed circle: U[30; 0.41545584755]
Coordinates of the inscribed circle: I[36.25; 12.08218914941]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0744097542° = 126°4'27″ = 0.941118455 rad
∠ B' = β' = 143.1344204481° = 143°8'3″ = 0.64334295132 rad
∠ C' = γ' = 90.79216979768° = 90°47'30″ = 1.55769785904 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     