# 10 12 19 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 12   c = 19

Area: T = 52.38773792053
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 27.35773262181° = 27°21'26″ = 0.4777475417 rad
Angle ∠ B = β = 33.46662779269° = 33°27'59″ = 0.58440967382 rad
Angle ∠ C = γ = 119.1766395855° = 119°10'35″ = 2.08800204983 rad

Height: ha = 10.47774758411
Height: hb = 8.73112298676
Height: hc = 5.5144460969

Median: ma = 15.0833103129
Median: mb = 13.9466325681
Median: mc = 5.63547138348

Inradius: r = 2.55554819125
Circumradius: R = 10.88804832127

Vertex coordinates: A[19; 0] B[0; 0] C[8.34221052632; 5.5144460969]
Centroid: CG[9.11440350877; 1.83881536563]
Coordinates of the circumscribed circle: U[9.5; -5.30442355662]
Coordinates of the inscribed circle: I[8.5; 2.55554819125]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.6432673782° = 152°38'34″ = 0.4777475417 rad
∠ B' = β' = 146.5343722073° = 146°32'1″ = 0.58440967382 rad
∠ C' = γ' = 60.8243604145° = 60°49'25″ = 2.08800204983 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.