# 19 24 30 triangle

### Acute scalene triangle.

Sides: a = 19   b = 24   c = 30

Area: T = 227.8122285665
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 39.25878857954° = 39°15'28″ = 0.68551793645 rad
Angle ∠ B = β = 53.06772521683° = 53°4'2″ = 0.92661982753 rad
Angle ∠ C = γ = 87.67548620363° = 87°40'29″ = 1.53302150138 rad

Height: ha = 23.98802405963
Height: hb = 18.98443571388
Height: hc = 15.1877485711

Median: ma = 25.45109331852
Median: mb = 22.05767450001
Median: mc = 15.60444865343

Inradius: r = 6.2411432484
Circumradius: R = 15.01223598032

Vertex coordinates: A[30; 0] B[0; 0] C[11.41766666667; 15.1877485711]
Centroid: CG[13.80655555556; 5.0622495237]
Coordinates of the circumscribed circle: U[15; 0.6099054071]
Coordinates of the inscribed circle: I[12.5; 6.2411432484]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.7422114205° = 140°44'32″ = 0.68551793645 rad
∠ B' = β' = 126.9332747832° = 126°55'58″ = 0.92661982753 rad
∠ C' = γ' = 92.32551379637° = 92°19'31″ = 1.53302150138 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.