# 14 17 19 triangle

### Acute scalene triangle.

Sides: a = 14   b = 17   c = 19

Area: T = 114.8911252931
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 45.3499014834° = 45°20'56″ = 0.79114896214 rad
Angle ∠ B = β = 59.75109669494° = 59°45'3″ = 1.04328511045 rad
Angle ∠ C = γ = 74.99000182166° = 74°54' = 1.30772519277 rad

Height: ha = 16.4133036133
Height: hb = 13.51766179919
Height: hc = 12.0943816098

Median: ma = 16.61332477258
Median: mb = 14.36114066163
Median: mc = 12.33989626793

Inradius: r = 4.59656501172
Circumradius: R = 9.84397395029

Vertex coordinates: A[19; 0] B[0; 0] C[7.05326315789; 12.0943816098]
Centroid: CG[8.68442105263; 4.03112720327]
Coordinates of the circumscribed circle: U[9.5; 2.56332934839]
Coordinates of the inscribed circle: I[8; 4.59656501172]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.6510985166° = 134°39'4″ = 0.79114896214 rad
∠ B' = β' = 120.2499033051° = 120°14'57″ = 1.04328511045 rad
∠ C' = γ' = 105.1099981783° = 105°6' = 1.30772519277 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.