# 15 16 23 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 23

Area: T = 119.3988492453
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 40.45990830808° = 40°27'33″ = 0.70661442121 rad
Angle ∠ B = β = 43.80217464419° = 43°48'6″ = 0.76444846935 rad
Angle ∠ C = γ = 95.73991704773° = 95°44'21″ = 1.6710963748 rad

Height: ha = 15.92197989937
Height: hb = 14.92548115566
Height: hc = 10.38224776046

Median: ma = 18.33771208209
Median: mb = 17.6921806013
Median: mc = 10.40443260233

Inradius: r = 4.42221663871
Circumradius: R = 11.55879348755

Vertex coordinates: A[23; 0] B[0; 0] C[10.82660869565; 10.38224776046]
Centroid: CG[11.27553623188; 3.46108258682]
Coordinates of the circumscribed circle: U[11.5; -1.15657934875]
Coordinates of the inscribed circle: I[11; 4.42221663871]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.5410916919° = 139°32'27″ = 0.70661442121 rad
∠ B' = β' = 136.1988253558° = 136°11'54″ = 0.76444846935 rad
∠ C' = γ' = 84.26108295227° = 84°15'39″ = 1.6710963748 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.