# 7 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 17   c = 23

Area: T = 35.49991197074
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 10.46218723348° = 10°27'43″ = 0.18325941182 rad
Angle ∠ B = β = 26.16766078821° = 26°10' = 0.45766934616 rad
Angle ∠ C = γ = 143.3721519783° = 143°22'17″ = 2.50223050738 rad

Height: ha = 10.14326056307
Height: hb = 4.17663670244
Height: hc = 3.08768799746

Median: ma = 19.9198584287
Median: mb = 14.72224318643
Median: mc = 6.06221778265

Inradius: r = 1.51106008386
Circumradius: R = 19.27551258521

Vertex coordinates: A[23; 0] B[0; 0] C[6.28326086957; 3.08768799746]
Centroid: CG[9.76108695652; 1.02989599915]
Coordinates of the circumscribed circle: U[11.5; -15.4698693436]
Coordinates of the inscribed circle: I[6.5; 1.51106008386]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.5388127665° = 169°32'17″ = 0.18325941182 rad
∠ B' = β' = 153.8333392118° = 153°50' = 0.45766934616 rad
∠ C' = γ' = 36.62884802169° = 36°37'43″ = 2.50223050738 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.