# 19 25 28 triangle

### Acute scalene triangle.

Sides: a = 19   b = 25   c = 28

Area: T = 232.069895527
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 41.53332182997° = 41°32' = 0.72548914083 rad
Angle ∠ B = β = 60.74333959328° = 60°44'36″ = 1.06601722579 rad
Angle ∠ C = γ = 77.72333857675° = 77°43'24″ = 1.35765289874 rad

Height: ha = 24.4288311081
Height: hb = 18.56655164216
Height: hc = 16.57663539478

Median: ma = 24.78440674628
Median: mb = 20.40222057631
Median: mc = 17.23436879396

Inradius: r = 6.44663598686
Circumradius: R = 14.32876380769

Vertex coordinates: A[28; 0] B[0; 0] C[9.28657142857; 16.57663539478]
Centroid: CG[12.42985714286; 5.52554513159]
Coordinates of the circumscribed circle: U[14; 3.04765083069]
Coordinates of the inscribed circle: I[11; 6.44663598686]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.46767817° = 138°28' = 0.72548914083 rad
∠ B' = β' = 119.2576604067° = 119°15'24″ = 1.06601722579 rad
∠ C' = γ' = 102.2776614232° = 102°16'36″ = 1.35765289874 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.