# 12 16 19 triangle

### Acute scalene triangle.

Sides: a = 12   b = 16   c = 19

Area: T = 95.50435994086
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 38.92657794574° = 38°55'33″ = 0.67993830154 rad
Angle ∠ B = β = 56.90333738225° = 56°54'12″ = 0.99331512287 rad
Angle ∠ C = γ = 84.17108467201° = 84°10'15″ = 1.46990584095 rad

Height: ha = 15.91772665681
Height: hb = 11.93879499261
Height: hc = 10.05330104641

Median: ma = 16.50875740192
Median: mb = 13.73295302177
Median: mc = 10.47661634199

Inradius: r = 4.06439829536
Circumradius: R = 9.54993783025

Vertex coordinates: A[19; 0] B[0; 0] C[6.55326315789; 10.05330104641]
Centroid: CG[8.51875438596; 3.3511003488]
Coordinates of the circumscribed circle: U[9.5; 0.97698587338]
Coordinates of the inscribed circle: I[7.5; 4.06439829536]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0744220543° = 141°4'27″ = 0.67993830154 rad
∠ B' = β' = 123.0976626178° = 123°5'48″ = 0.99331512287 rad
∠ C' = γ' = 95.82991532799° = 95°49'45″ = 1.46990584095 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.