# 16 23 29 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 23   c = 29

Area: T = 183.4676618217
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 33.37655746598° = 33°22'32″ = 0.58325136676 rad
Angle ∠ B = β = 52.26107465423° = 52°15'39″ = 0.91221220967 rad
Angle ∠ C = γ = 94.36436787979° = 94°21'49″ = 1.64769568893 rad

Height: ha = 22.93333272771
Height: hb = 15.95436189754
Height: hc = 12.65328702219

Median: ma = 24.92198715888
Median: mb = 20.40222057631
Median: mc = 13.5

Inradius: r = 5.39660770064
Circumradius: R = 14.54221550031

Vertex coordinates: A[29; 0] B[0; 0] C[9.79331034483; 12.65328702219]
Centroid: CG[12.93110344828; 4.21876234073]
Coordinates of the circumscribed circle: U[14.5; -1.10664683155]
Coordinates of the inscribed circle: I[11; 5.39660770064]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.624442534° = 146°37'28″ = 0.58325136676 rad
∠ B' = β' = 127.7399253458° = 127°44'21″ = 0.91221220967 rad
∠ C' = γ' = 85.63663212021° = 85°38'11″ = 1.64769568893 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.