# 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?

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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.