# 15 17 22 triangle

### Acute scalene triangle.

Sides: a = 15   b = 17   c = 22

Area: T = 127.2799220614
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 42.89334830421° = 42°53'37″ = 0.74986325067 rad
Angle ∠ B = β = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ C = γ = 86.62877133166° = 86°37'40″ = 1.51219388208 rad

Height: ha = 16.97105627485
Height: hb = 14.97440259545
Height: hc = 11.57108382376

Median: ma = 18.17327818454
Median: mb = 16.88002976164
Median: mc = 11.66219037897

Inradius: r = 4.71440452079
Circumradius: R = 11.01990806735

Vertex coordinates: A[22; 0] B[0; 0] C[9.54554545455; 11.57108382376]
Centroid: CG[10.51551515152; 3.85769460792]
Coordinates of the circumscribed circle: U[11; 0.64881812161]
Coordinates of the inscribed circle: I[10; 4.71440452079]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.1076516958° = 137°6'23″ = 0.74986325067 rad
∠ B' = β' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ C' = γ' = 93.37222866834° = 93°22'20″ = 1.51219388208 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.