# 14 16 23 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 16   c = 23

Area: T = 110.3333301863
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 36.84439406298° = 36°50'38″ = 0.64330480734 rad
Angle ∠ B = β = 43.25992059274° = 43°15'33″ = 0.75550155752 rad
Angle ∠ C = γ = 99.89768534428° = 99°53'49″ = 1.7443529005 rad

Height: ha = 15.76219002661
Height: hb = 13.79216627329
Height: hc = 9.5944200162

Median: ma = 18.53437529929
Median: mb = 17.27771525432
Median: mc = 9.68224583655

Inradius: r = 4.1643520825
Circumradius: R = 11.67437193418

Vertex coordinates: A[23; 0] B[0; 0] C[10.19656521739; 9.5944200162]
Centroid: CG[11.06552173913; 3.19880667207]
Coordinates of the circumscribed circle: U[11.5; -2.00664205119]
Coordinates of the inscribed circle: I[10.5; 4.1643520825]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.156605937° = 143°9'22″ = 0.64330480734 rad
∠ B' = β' = 136.7410794073° = 136°44'27″ = 0.75550155752 rad
∠ C' = γ' = 80.10331465572° = 80°6'11″ = 1.7443529005 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.