# 5 13 17 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 13   c = 17

Area: T = 22.18552991866
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 11.5822103507° = 11°34'56″ = 0.20221458405 rad
Angle ∠ B = β = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ C = γ = 136.95109202° = 136°57'3″ = 2.39902444711 rad

Height: ha = 8.87441196746
Height: hb = 3.41331229518
Height: hc = 2.61100351984

Median: ma = 14.92548115566
Median: mb = 10.71221426428
Median: mc = 4.97549371855

Inradius: r = 1.26877313821
Circumradius: R = 12.4521939353

Vertex coordinates: A[17; 0] B[0; 0] C[4.26547058824; 2.61100351984]
Centroid: CG[7.08882352941; 0.87700117328]
Coordinates of the circumscribed circle: U[8.5; -9.09994941426]
Coordinates of the inscribed circle: I[4.5; 1.26877313821]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.4187896493° = 168°25'4″ = 0.20221458405 rad
∠ B' = β' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ C' = γ' = 43.04990798002° = 43°2'57″ = 2.39902444711 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.