# 13 15 22 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 15   c = 22

Area: T = 94.86883298051
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 35.09768012276° = 35°5'48″ = 0.61325547383 rad
Angle ∠ B = β = 41.56108349753° = 41°33'39″ = 0.72553734102 rad
Angle ∠ C = γ = 103.3422363797° = 103°20'32″ = 1.80436645051 rad

Height: ha = 14.59551276623
Height: hb = 12.64991106407
Height: hc = 8.62443936186

Median: ma = 17.67105970471
Median: mb = 16.43992822228
Median: mc = 8.71877978871

Inradius: r = 3.79547331922
Circumradius: R = 11.30551426351

Vertex coordinates: A[22; 0] B[0; 0] C[9.72772727273; 8.62443936186]
Centroid: CG[10.57657575758; 2.87547978729]
Coordinates of the circumscribed circle: U[11; -2.60988790696]
Coordinates of the inscribed circle: I[10; 3.79547331922]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.9033198772° = 144°54'12″ = 0.61325547383 rad
∠ B' = β' = 138.4399165025° = 138°26'21″ = 0.72553734102 rad
∠ C' = γ' = 76.65876362029° = 76°39'28″ = 1.80436645051 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.