# 19 26 27 triangle

### Acute scalene triangle.

Sides: a = 19   b = 26   c = 27

Area: T = 234.6911286587
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 41.96218888284° = 41°57'43″ = 0.73223731204 rad
Angle ∠ B = β = 66.20222871793° = 66°12'8″ = 1.15554478836 rad
Angle ∠ C = γ = 71.83658239923° = 71°50'9″ = 1.25437716495 rad

Height: ha = 24.70443459566
Height: hb = 18.05331758913
Height: hc = 17.38545397472

Median: ma = 24.74436860633
Median: mb = 19.39107194297
Median: mc = 18.33771208209

Inradius: r = 6.51992024052
Circumradius: R = 14.20880264184

Vertex coordinates: A[27; 0] B[0; 0] C[7.66766666667; 17.38545397472]
Centroid: CG[11.55655555556; 5.79548465824]
Coordinates of the circumscribed circle: U[13.5; 4.42992228106]
Coordinates of the inscribed circle: I[10; 6.51992024052]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.0388111172° = 138°2'17″ = 0.73223731204 rad
∠ B' = β' = 113.7987712821° = 113°47'52″ = 1.15554478836 rad
∠ C' = γ' = 108.1644176008° = 108°9'51″ = 1.25437716495 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.