# 10 14 23 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 14   c = 23

Area: T = 38.81992928838
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 13.95222764517° = 13°57'8″ = 0.24435131622 rad
Angle ∠ B = β = 19.72882289323° = 19°43'42″ = 0.34443225505 rad
Angle ∠ C = γ = 146.3199494616° = 146°19'10″ = 2.55437569409 rad

Height: ha = 7.76438585768
Height: hb = 5.54656132691
Height: hc = 3.37655906855

Median: ma = 18.37111730709
Median: mb = 16.29441707368
Median: mc = 3.96986269666

Inradius: r = 1.65218848036
Circumradius: R = 20.73771113742

Vertex coordinates: A[23; 0] B[0; 0] C[9.41330434783; 3.37655906855]
Centroid: CG[10.80443478261; 1.12551968952]
Coordinates of the circumscribed circle: U[11.5; -17.25662391078]
Coordinates of the inscribed circle: I[9.5; 1.65218848036]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.0487723548° = 166°2'52″ = 0.24435131622 rad
∠ B' = β' = 160.2721771068° = 160°16'18″ = 0.34443225505 rad
∠ C' = γ' = 33.68105053841° = 33°40'50″ = 2.55437569409 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.