# 10 14 19 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 14   c = 19

Area: T = 68.0887719157
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 30.79329879089° = 30°47'35″ = 0.53774390255 rad
Angle ∠ B = β = 45.78437484876° = 45°47'1″ = 0.7999077155 rad
Angle ∠ C = γ = 103.4233263603° = 103°25'24″ = 1.8055076473 rad

Height: ha = 13.61875438314
Height: hb = 9.72768170224
Height: hc = 7.16771283323

Median: ma = 15.92216833281
Median: mb = 13.47221935853
Median: mc = 7.59993420768

Inradius: r = 3.16768706585
Circumradius: R = 9.76768126974

Vertex coordinates: A[19; 0] B[0; 0] C[6.97436842105; 7.16771283323]
Centroid: CG[8.65878947368; 2.38990427774]
Coordinates of the circumscribed circle: U[9.5; -2.26772958048]
Coordinates of the inscribed circle: I[7.5; 3.16768706585]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.2077012091° = 149°12'25″ = 0.53774390255 rad
∠ B' = β' = 134.2166251512° = 134°12'59″ = 0.7999077155 rad
∠ C' = γ' = 76.57767363965° = 76°34'36″ = 1.8055076473 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.