# 13 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 17   c = 23

Area: T = 109.0655060858
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 33.909914284° = 33°54'33″ = 0.59218261891 rad
Angle ∠ B = β = 46.84771893515° = 46°50'50″ = 0.81876376995 rad
Angle ∠ C = γ = 99.24436678085° = 99°14'37″ = 1.7322128765 rad

Height: ha = 16.7799240132
Height: hb = 12.83111836304
Height: hc = 9.48439183355

Median: ma = 19.15107180022
Median: mb = 16.63658047596
Median: mc = 9.83661577865

Inradius: r = 4.11656626739
Circumradius: R = 11.65113023511

Vertex coordinates: A[23; 0] B[0; 0] C[8.89113043478; 9.48439183355]
Centroid: CG[10.63304347826; 3.16113061118]
Coordinates of the circumscribed circle: U[11.5; -1.87215892917]
Coordinates of the inscribed circle: I[9.5; 4.11656626739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.091085716° = 146°5'27″ = 0.59218261891 rad
∠ B' = β' = 133.1532810649° = 133°9'10″ = 0.81876376995 rad
∠ C' = γ' = 80.75663321915° = 80°45'23″ = 1.7322128765 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.