# 19 21 23 triangle

### Acute scalene triangle.

Sides: a = 19   b = 21   c = 23

Area: T = 187.4622496249
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 50.91877927026° = 50°55'4″ = 0.88986831305 rad
Angle ∠ B = β = 59.08773973855° = 59°5'15″ = 1.03112696308 rad
Angle ∠ C = γ = 69.99548099118° = 69°59'41″ = 1.22216398923 rad

Height: ha = 19.7332894342
Height: hb = 17.85435710714
Height: hc = 16.30110866304

Median: ma = 19.86883164863
Median: mb = 18.29661744635
Median: mc = 16.39435963108

Inradius: r = 5.95111903571
Circumradius: R = 12.23884479344

Vertex coordinates: A[23; 0] B[0; 0] C[9.76108695652; 16.30110866304]
Centroid: CG[10.92202898551; 5.43436955435]
Coordinates of the circumscribed circle: U[11.5; 4.18768374512]
Coordinates of the inscribed circle: I[10.5; 5.95111903571]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.0822207297° = 129°4'56″ = 0.88986831305 rad
∠ B' = β' = 120.9132602614° = 120°54'45″ = 1.03112696308 rad
∠ C' = γ' = 110.0055190088° = 110°19″ = 1.22216398923 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.