# 12 19 24 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 19   c = 24

Area: T = 112.6109668768
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 29.59773766968° = 29°35'51″ = 0.51765716733 rad
Angle ∠ B = β = 51.44551253397° = 51°26'42″ = 0.89878868213 rad
Angle ∠ C = γ = 98.95774979635° = 98°57'27″ = 1.7277134159 rad

Height: ha = 18.7688278128
Height: hb = 11.8543649344
Height: hc = 9.3844139064

Median: ma = 20.79766343431
Median: mb = 16.42440677057
Median: mc = 10.4166333328

Inradius: r = 4.09548970461
Circumradius: R = 12.14881575691

Vertex coordinates: A[24; 0] B[0; 0] C[7.47991666667; 9.3844139064]
Centroid: CG[10.49330555556; 3.12880463547]
Coordinates of the circumscribed circle: U[12; -1.89114894461]
Coordinates of the inscribed circle: I[8.5; 4.09548970461]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.4032623303° = 150°24'9″ = 0.51765716733 rad
∠ B' = β' = 128.555487466° = 128°33'18″ = 0.89878868213 rad
∠ C' = γ' = 81.04325020365° = 81°2'33″ = 1.7277134159 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.