# 5 16 17 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 16   c = 17

Area: T = 39.95499687109
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 17.08325832434° = 17°4'57″ = 0.29881473223 rad
Angle ∠ B = β = 70.0511432774° = 70°3'5″ = 1.22326281476 rad
Angle ∠ C = γ = 92.86659839826° = 92°51'58″ = 1.62108171836 rad

Height: ha = 15.98799874844
Height: hb = 4.99437460889
Height: hc = 4.76999963189

Median: ma = 16.31771688721
Median: mb = 9.6443650761
Median: mc = 8.26113558209

Inradius: r = 2.10326299322
Circumradius: R = 8.51106449635

Vertex coordinates: A[17; 0] B[0; 0] C[1.70658823529; 4.76999963189]
Centroid: CG[6.23552941176; 1.56766654396]
Coordinates of the circumscribed circle: U[8.5; -0.42655322482]
Coordinates of the inscribed circle: I[3; 2.10326299322]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.9177416757° = 162°55'3″ = 0.29881473223 rad
∠ B' = β' = 109.9498567226° = 109°56'55″ = 1.22326281476 rad
∠ C' = γ' = 87.13440160174° = 87°8'2″ = 1.62108171836 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.