# 19 23 28 triangle

### Acute scalene triangle.

Sides: a = 19   b = 23   c = 28

Area: T = 216.8877067388
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 42.34326054522° = 42°20'33″ = 0.7399017879 rad
Angle ∠ B = β = 54.62334598481° = 54°37'24″ = 0.95333592232 rad
Angle ∠ C = γ = 83.03439346997° = 83°2'2″ = 1.44992155514 rad

Height: ha = 22.83302176197
Height: hb = 18.86597449902
Height: hc = 15.49219333848

Median: ma = 23.79660080686
Median: mb = 20.98221352584
Median: mc = 15.78797338381

Inradius: r = 6.19767733539
Circumradius: R = 14.10441143524

Vertex coordinates: A[28; 0] B[0; 0] C[11; 15.49219333848]
Centroid: CG[13; 5.16439777949]
Coordinates of the circumscribed circle: U[14; 1.71105676446]
Coordinates of the inscribed circle: I[12; 6.19767733539]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6577394548° = 137°39'27″ = 0.7399017879 rad
∠ B' = β' = 125.3776540152° = 125°22'36″ = 0.95333592232 rad
∠ C' = γ' = 96.96660653003° = 96°57'58″ = 1.44992155514 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.