# 10 19 28 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 28

Area: T = 50.04443553261
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 10.84440625637° = 10°50'39″ = 0.1899264596 rad
Angle ∠ B = β = 20.94442680534° = 20°56'39″ = 0.3665546437 rad
Angle ∠ C = γ = 148.2121669383° = 148°12'42″ = 2.58767816206 rad

Height: ha = 10.00988710652
Height: hb = 5.26878268764
Height: hc = 3.5754596809

Median: ma = 23.39987179136
Median: mb = 18.75549993335
Median: mc = 5.87436700622

Inradius: r = 1.75659422921
Circumradius: R = 26.57664238811

Vertex coordinates: A[28; 0] B[0; 0] C[9.33992857143; 3.5754596809]
Centroid: CG[12.44664285714; 1.19215322697]
Coordinates of the circumscribed circle: U[14; -22.59899602989]
Coordinates of the inscribed circle: I[9.5; 1.75659422921]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.1565937436° = 169°9'21″ = 0.1899264596 rad
∠ B' = β' = 159.0565731947° = 159°3'21″ = 0.3665546437 rad
∠ C' = γ' = 31.78883306171° = 31°47'18″ = 2.58767816206 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.