# 14 19 20 triangle

### Acute scalene triangle.

Sides: a = 14   b = 19   c = 20

Area: T = 127.0776502549
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 41.97663420173° = 41°58'35″ = 0.73326253761 rad
Angle ∠ B = β = 65.18879583752° = 65°11'17″ = 1.13877445063 rad
Angle ∠ C = γ = 72.83656996075° = 72°50'9″ = 1.27112227711 rad

Height: ha = 18.15437860784
Height: hb = 13.37664739525
Height: hc = 12.70876502549

Median: ma = 18.2077141456
Median: mb = 14.41435353054
Median: mc = 13.36603892159

Inradius: r = 4.79553397188
Circumradius: R = 10.46661363299

Vertex coordinates: A[20; 0] B[0; 0] C[5.875; 12.70876502549]
Centroid: CG[8.625; 4.23658834183]
Coordinates of the circumscribed circle: U[10; 3.08986906086]
Coordinates of the inscribed circle: I[7.5; 4.79553397188]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0243657983° = 138°1'25″ = 0.73326253761 rad
∠ B' = β' = 114.8122041625° = 114°48'43″ = 1.13877445063 rad
∠ C' = γ' = 107.1644300392° = 107°9'51″ = 1.27112227711 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.