# 14 15 19 triangle

### Acute scalene triangle.

Sides: a = 14   b = 15   c = 19

Area: T = 103.9233048454
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 46.82664488927° = 46°49'35″ = 0.81772757102 rad
Angle ∠ B = β = 51.3876761809° = 51°23'12″ = 0.89768681855 rad
Angle ∠ C = γ = 81.78767892983° = 81°47'12″ = 1.42774487579 rad

Height: ha = 14.84661497792
Height: hb = 13.85664064606
Height: hc = 10.93992682583

Median: ma = 15.62204993518
Median: mb = 14.90880515159
Median: mc = 10.96658560997

Inradius: r = 4.33301270189
Circumradius: R = 9.59884482253

Vertex coordinates: A[19; 0] B[0; 0] C[8.73768421053; 10.93992682583]
Centroid: CG[9.24656140351; 3.64664227528]
Coordinates of the circumscribed circle: U[9.5; 1.37112068893]
Coordinates of the inscribed circle: I[9; 4.33301270189]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.1743551107° = 133°10'25″ = 0.81772757102 rad
∠ B' = β' = 128.6133238191° = 128°36'48″ = 0.89768681855 rad
∠ C' = γ' = 98.21332107017° = 98°12'48″ = 1.42774487579 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.