# 5 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 19   c = 23

Area: T = 31.2765989193
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 8.23295587989° = 8°13'46″ = 0.1443632897 rad
Angle ∠ B = β = 32.95215907204° = 32°57'6″ = 0.57551137518 rad
Angle ∠ C = γ = 138.8198850481° = 138°49'8″ = 2.42328460047 rad

Height: ha = 12.51103956772
Height: hb = 3.29222093887
Height: hc = 2.72196512342

Median: ma = 20.94663600657
Median: mb = 13.66656503687
Median: mc = 7.79442286341

Inradius: r = 1.33108931571
Circumradius: R = 17.4655474765

Vertex coordinates: A[23; 0] B[0; 0] C[4.19656521739; 2.72196512342]
Centroid: CG[9.06552173913; 0.90765504114]
Coordinates of the circumscribed circle: U[11.5; -13.14550678494]
Coordinates of the inscribed circle: I[4.5; 1.33108931571]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 171.7770441201° = 171°46'14″ = 0.1443632897 rad
∠ B' = β' = 147.048840928° = 147°2'54″ = 0.57551137518 rad
∠ C' = γ' = 41.18111495194° = 41°10'52″ = 2.42328460047 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.