# 12 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 14   c = 19

Area: T = 83.8365776969
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 39.07655206502° = 39°4'32″ = 0.68219964923 rad
Angle ∠ B = β = 47.34111576513° = 47°20'28″ = 0.82662590727 rad
Angle ∠ C = γ = 93.58333216985° = 93°35' = 1.63333370886 rad

Height: ha = 13.97326294948
Height: hb = 11.9776539567
Height: hc = 8.82548186283

Median: ma = 15.57224115024
Median: mb = 14.26553426177
Median: mc = 8.93302855497

Inradius: r = 3.7266034532
Circumradius: R = 9.51986092245

Vertex coordinates: A[19; 0] B[0; 0] C[8.13215789474; 8.82548186283]
Centroid: CG[9.04438596491; 2.94216062094]
Coordinates of the circumscribed circle: U[9.5; -0.59549130765]
Coordinates of the inscribed circle: I[8.5; 3.7266034532]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.924447935° = 140°55'28″ = 0.68219964923 rad
∠ B' = β' = 132.6598842349° = 132°39'32″ = 0.82662590727 rad
∠ C' = γ' = 86.41766783015° = 86°25' = 1.63333370886 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.