# 13 16 23 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 16   c = 23

Area: T = 100.6987567001
Perimeter: p = 52
Semiperimeter: s = 26

Angle ∠ A = α = 33.18798823619° = 33°10'48″ = 0.57990981926 rad
Angle ∠ B = β = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ C = γ = 104.4787512186° = 104°28'39″ = 1.82334765819 rad

Height: ha = 15.49219333848
Height: hb = 12.58771958752
Height: hc = 8.7566310174

Median: ma = 18.71549672722
Median: mb = 16.88219430161
Median: mc = 8.95882364336

Inradius: r = 3.87329833462
Circumradius: R = 11.87771489284

Vertex coordinates: A[23; 0] B[0; 0] C[9.60986956522; 8.7566310174]
Centroid: CG[10.87695652174; 2.9198770058]
Coordinates of the circumscribed circle: U[11.5; -2.96992872321]
Coordinates of the inscribed circle: I[10; 3.87329833462]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.8220117638° = 146°49'12″ = 0.57990981926 rad
∠ B' = β' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ C' = γ' = 75.52224878141° = 75°31'21″ = 1.82334765819 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.