# 17 19 22 triangle

### Acute scalene triangle.

Sides: a = 17   b = 19   c = 22

Area: T = 156.0776904121
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 48.31221683473° = 48°18'44″ = 0.84332064064 rad
Angle ∠ B = β = 56.57879395233° = 56°34'41″ = 0.98774713287 rad
Angle ∠ C = γ = 75.11098921294° = 75°6'36″ = 1.31109149185 rad

Height: ha = 18.36219887201
Height: hb = 16.42991478022
Height: hc = 14.18988094655

Median: ma = 18.71549672722
Median: mb = 17.21219144781
Median: mc = 14.28328568571

Inradius: r = 5.38219622111
Circumradius: R = 11.38222093666

Vertex coordinates: A[22; 0] B[0; 0] C[9.36436363636; 14.18988094655]
Centroid: CG[10.45545454545; 4.73296031552]
Coordinates of the circumscribed circle: U[11; 2.92548401778]
Coordinates of the inscribed circle: I[10; 5.38219622111]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6887831653° = 131°41'16″ = 0.84332064064 rad
∠ B' = β' = 123.4222060477° = 123°25'19″ = 0.98774713287 rad
∠ C' = γ' = 104.8990107871° = 104°53'24″ = 1.31109149185 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.