# 17 18 23 triangle

### Acute scalene triangle.

Sides: a = 17   b = 18   c = 23

Area: T = 151.5521971284
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 47.0665689197° = 47°3'56″ = 0.82114512412 rad
Angle ∠ B = β = 50.82333410331° = 50°49'24″ = 0.88770346379 rad
Angle ∠ C = γ = 82.11109697699° = 82°6'39″ = 1.43331067745 rad

Height: ha = 17.83296436804
Height: hb = 16.83991079204
Height: hc = 13.17884322855

Median: ma = 18.82215302247
Median: mb = 18.11107702763
Median: mc = 13.22003787824

Inradius: r = 5.22659300443
Circumradius: R = 11.61098786779

Vertex coordinates: A[23; 0] B[0; 0] C[10.73991304348; 13.17884322855]
Centroid: CG[11.24663768116; 4.39328107618]
Coordinates of the circumscribed circle: U[11.5; 1.59435127597]
Coordinates of the inscribed circle: I[11; 5.22659300443]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.9344310803° = 132°56'4″ = 0.82114512412 rad
∠ B' = β' = 129.1776658967° = 129°10'36″ = 0.88770346379 rad
∠ C' = γ' = 97.88990302301° = 97°53'21″ = 1.43331067745 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.