# 16 19 20 triangle

### Acute scalene triangle.

Sides: a = 16   b = 19   c = 20

Area: T = 141.989921614
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 48.35880394574° = 48°21'29″ = 0.84440070083 rad
Angle ∠ B = β = 62.55223807758° = 62°33'9″ = 1.09217449995 rad
Angle ∠ C = γ = 69.09895797668° = 69°5'22″ = 1.20658406458 rad

Height: ha = 17.74986520175
Height: hb = 14.94662332779
Height: hc = 14.1998921614

Median: ma = 17.79904468747
Median: mb = 15.41991439451
Median: mc = 14.44395290782

Inradius: r = 5.16332442233
Circumradius: R = 10.70550383214

Vertex coordinates: A[20; 0] B[0; 0] C[7.375; 14.1998921614]
Centroid: CG[9.125; 4.73329738713]
Coordinates of the circumscribed circle: U[10; 3.82107126904]
Coordinates of the inscribed circle: I[8.5; 5.16332442233]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6421960543° = 131°38'31″ = 0.84440070083 rad
∠ B' = β' = 117.4487619224° = 117°26'51″ = 1.09217449995 rad
∠ C' = γ' = 110.9110420233° = 110°54'38″ = 1.20658406458 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.