# 15 17 23 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 17   c = 23

Area: T = 127.445484101
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 40.68443855292° = 40°41'4″ = 0.71100764816 rad
Angle ∠ B = β = 47.63302014306° = 47°37'49″ = 0.83113038384 rad
Angle ∠ C = γ = 91.68554130402° = 91°41'7″ = 1.66002123336 rad

Height: ha = 16.9932645468
Height: hb = 14.9943510707
Height: hc = 11.08221600878

Median: ma = 18.7821639971
Median: mb = 17.45770902501
Median: mc = 11.16991539518

Inradius: r = 4.63443578549
Circumradius: R = 11.50549772779

Vertex coordinates: A[23; 0] B[0; 0] C[10.10986956522; 11.08221600878]
Centroid: CG[11.03662318841; 3.69440533626]
Coordinates of the circumscribed circle: U[11.5; -0.33883816846]
Coordinates of the inscribed circle: I[10.5; 4.63443578549]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.3165614471° = 139°18'56″ = 0.71100764816 rad
∠ B' = β' = 132.3769798569° = 132°22'11″ = 0.83113038384 rad
∠ C' = γ' = 88.31545869598° = 88°18'53″ = 1.66002123336 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.