# 15 19 23 triangle

### Acute scalene triangle.

Sides: a = 15   b = 19   c = 23

Area: T = 141.7865709788
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 40.45990830808° = 40°27'33″ = 0.70661442121 rad
Angle ∠ B = β = 55.28800873965° = 55°16'48″ = 0.96548195359 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad

Height: ha = 18.9054761305
Height: hb = 14.92548115566
Height: hc = 12.32991921555

Median: ma = 19.71767441531
Median: mb = 16.93436942219
Median: mc = 12.67987223331

Inradius: r = 4.97549371855
Circumradius: R = 11.55879348755

Vertex coordinates: A[23; 0] B[0; 0] C[8.54334782609; 12.32991921555]
Centroid: CG[10.51444927536; 4.11097307185]
Coordinates of the circumscribed circle: U[11.5; 1.15657934875]
Coordinates of the inscribed circle: I[9.5; 4.97549371855]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.5410916919° = 139°32'27″ = 0.70661442121 rad
∠ B' = β' = 124.7219912604° = 124°43'12″ = 0.96548195359 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 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.