# 16 17 29 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 17   c = 29

Area: T = 114.1055214605
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 27.57444937121° = 27°34'28″ = 0.48112657048 rad
Angle ∠ B = β = 29.46111189642° = 29°27'40″ = 0.51441935272 rad
Angle ∠ C = γ = 122.9644387324° = 122°57'52″ = 2.14661334215 rad

Height: ha = 14.26331518256
Height: hb = 13.42441428947
Height: hc = 7.86993251452

Median: ma = 22.38330292856
Median: mb = 21.82331528428
Median: mc = 7.8989866919

Inradius: r = 3.68108133743
Circumradius: R = 17.28222951767

Vertex coordinates: A[29; 0] B[0; 0] C[13.93110344828; 7.86993251452]
Centroid: CG[14.31103448276; 2.62331083817]
Coordinates of the circumscribed circle: U[14.5; -9.40436017873]
Coordinates of the inscribed circle: I[14; 3.68108133743]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.4265506288° = 152°25'32″ = 0.48112657048 rad
∠ B' = β' = 150.5398881036° = 150°32'20″ = 0.51441935272 rad
∠ C' = γ' = 57.03656126762° = 57°2'8″ = 2.14661334215 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    