# 7 13 17 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 13   c = 17

Area: T = 41.89549579305
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 22.28804156887° = 22°16'50″ = 0.38988666125 rad
Angle ∠ B = β = 44.75882470547° = 44°45'30″ = 0.78111787785 rad
Angle ∠ C = γ = 112.9611337257° = 112°57'41″ = 1.97215472626 rad

Height: ha = 11.97699879801
Height: hb = 6.44553781432
Height: hc = 4.92988185801

Median: ma = 14.72224318643
Median: mb = 11.25883302492
Median: mc = 6.06221778265

Inradius: r = 2.26545923206
Circumradius: R = 9.23114211329

Vertex coordinates: A[17; 0] B[0; 0] C[4.97105882353; 4.92988185801]
Centroid: CG[7.32435294118; 1.64329395267]
Coordinates of the circumscribed circle: U[8.5; -3.60112686837]
Coordinates of the inscribed circle: I[5.5; 2.26545923206]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.7219584311° = 157°43'10″ = 0.38988666125 rad
∠ B' = β' = 135.2421752945° = 135°14'30″ = 0.78111787785 rad
∠ C' = γ' = 67.03986627434° = 67°2'19″ = 1.97215472626 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.