# 9 19 23 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 19   c = 23

Area: 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

# 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.