38 45.5 55 triangle

Acute scalene triangle.

Sides: a = 38   b = 45.5   c = 55

Area: T = 855.8043658758
Perimeter: p = 138.5
Semiperimeter: s = 69.25

Angle ∠ A = α = 43.15437907868° = 43°9'14″ = 0.75331757339 rad
Angle ∠ B = β = 54.98799092618° = 54°58'48″ = 0.96595804391 rad
Angle ∠ C = γ = 81.86662999515° = 81°51'59″ = 1.42988364806 rad

Height: ha = 45.04222978294
Height: hb = 37.61877432421
Height: hc = 31.12201330457

Median: ma = 46.76113622556
Median: mb = 41.43659445409
Median: mc = 31.63766085414

Inradius: r = 12.35881755777
Circumradius: R = 27.7799444218

Vertex coordinates: A[55; 0] B[0; 0] C[21.80768181818; 31.12201330457]
Centroid: CG[25.60222727273; 10.37333776819]
Coordinates of the circumscribed circle: U[27.5; 3.93303334539]
Coordinates of the inscribed circle: I[23.75; 12.35881755777]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.8466209213° = 136°50'46″ = 0.75331757339 rad
∠ B' = β' = 125.0220090738° = 125°1'12″ = 0.96595804391 rad
∠ C' = γ' = 98.13437000485° = 98°8'1″ = 1.42988364806 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     