9 19 23 triangle
Obtuse scalene triangle.
Sides: a = 9 b = 19 c = 23Area: T = 82.68772874147
Perimeter: p = 51
Semiperimeter: s = 25.5
Angle ∠ A = α = 22.23765612709° = 22°14'12″ = 0.38881012085 rad
Angle ∠ B = β = 53.02662349852° = 53°1'34″ = 0.92554823904 rad
Angle ∠ C = γ = 104.7377203744° = 104°44'14″ = 1.82880090547 rad
Height: ha = 18.37549527588
Height: hb = 8.7043924991
Height: hc = 7.19901989056
Median: ma = 20.60994638455
Median: mb = 14.65443508898
Median: mc = 9.42107218407
Inradius: r = 3.24326387221
Circumradius: R = 11.89111870342
Vertex coordinates: A[23; 0] B[0; 0] C[5.41330434783; 7.19901989056]
Centroid: CG[9.47110144928; 2.39767329685]
Coordinates of the circumscribed circle: U[11.5; -3.02549510877]
Coordinates of the inscribed circle: I[6.5; 3.24326387221]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.7633438729° = 157°45'48″ = 0.38881012085 rad
∠ B' = β' = 126.9743765015° = 126°58'26″ = 0.92554823904 rad
∠ C' = γ' = 75.2632796256° = 75°15'46″ = 1.82880090547 rad
Calculate another triangle
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
