# 11 15 23 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 15   c = 23

Area: T = 68.65326583608
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 23.45223604058° = 23°27'8″ = 0.40993209064 rad
Angle ∠ B = β = 32.8688227068° = 32°52'6″ = 0.57436587816 rad
Angle ∠ C = γ = 123.6799412526° = 123°40'46″ = 2.15986129655 rad

Height: ha = 12.48223015201
Height: hb = 9.15436877814
Height: hc = 5.97697963792

Median: ma = 18.62112244495
Median: mb = 16.39435963108
Median: mc = 6.38435726674

Inradius: r = 2.80221493208
Circumradius: R = 13.8219566826

Vertex coordinates: A[23; 0] B[0; 0] C[9.23991304348; 5.97697963792]
Centroid: CG[10.74663768116; 1.99899321264]
Coordinates of the circumscribed circle: U[11.5; -7.66435779672]
Coordinates of the inscribed circle: I[9.5; 2.80221493208]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.5487639594° = 156°32'52″ = 0.40993209064 rad
∠ B' = β' = 147.1321772932° = 147°7'54″ = 0.57436587816 rad
∠ C' = γ' = 56.32105874737° = 56°19'14″ = 2.15986129655 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.