# 19 22 23 triangle

### Acute scalene triangle.

Sides: a = 19   b = 22   c = 23

Area: T = 193.4944185959
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 49.88991271742° = 49°53'21″ = 0.87107295301 rad
Angle ∠ B = β = 62.32201335598° = 62°19'12″ = 1.08876915209 rad
Angle ∠ C = γ = 67.7910739266° = 67°47'27″ = 1.18331716026 rad

Height: ha = 20.36878090483
Height: hb = 17.59903805417
Height: hc = 16.82655813878

Median: ma = 20.40222057631
Median: mb = 18
Median: mc = 17.03767250374

Inradius: r = 6.04766933112
Circumradius: R = 12.42215618577

Vertex coordinates: A[23; 0] B[0; 0] C[8.82660869565; 16.82655813878]
Centroid: CG[10.60986956522; 5.60985271293]
Coordinates of the circumscribed circle: U[11.5; 4.69552315156]
Coordinates of the inscribed circle: I[10; 6.04766933112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1110872826° = 130°6'39″ = 0.87107295301 rad
∠ B' = β' = 117.687986644° = 117°40'48″ = 1.08876915209 rad
∠ C' = γ' = 112.2099260734° = 112°12'33″ = 1.18331716026 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.