# 13 15 23 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 15   c = 23

Area: T = 91.47223318824
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 32.02439959746° = 32°1'26″ = 0.55989241694 rad
Angle ∠ B = β = 37.72437572832° = 37°43'26″ = 0.65884037708 rad
Angle ∠ C = γ = 110.2522246742° = 110°15'8″ = 1.92442647134 rad

Height: ha = 14.07326664434
Height: hb = 12.19663109177
Height: hc = 7.95441158159

Median: ma = 18.29661744635
Median: mb = 17.11099386323
Median: mc = 8.04767384697

Inradius: r = 3.58771502699
Circumradius: R = 12.25878049223

Vertex coordinates: A[23; 0] B[0; 0] C[10.28326086957; 7.95441158159]
Centroid: CG[11.09442028986; 2.65113719386]
Coordinates of the circumscribed circle: U[11.5; -4.24330863192]
Coordinates of the inscribed circle: I[10.5; 3.58771502699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.9766004025° = 147°58'34″ = 0.55989241694 rad
∠ B' = β' = 142.2766242717° = 142°16'34″ = 0.65884037708 rad
∠ C' = γ' = 69.74877532578° = 69°44'52″ = 1.92442647134 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.