# 17 22 28 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 22   c = 28

Area: T = 186.9879778318
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 37.37884643889° = 37°22'42″ = 0.65223772729 rad
Angle ∠ B = β = 51.77989202453° = 51°46'44″ = 0.90437126414 rad
Angle ∠ C = γ = 90.84326153658° = 90°50'33″ = 1.58655027393 rad

Height: ha = 21.99876209786
Height: hb = 16.99881616653
Height: hc = 13.35656984513

Median: ma = 23.7011265789
Median: mb = 20.38438171106
Median: mc = 13.80221737418

Inradius: r = 5.581148592
Circumradius: R = 14.00215140864

Vertex coordinates: A[28; 0] B[0; 0] C[10.51878571429; 13.35656984513]
Centroid: CG[12.83992857143; 4.45218994838]
Coordinates of the circumscribed circle: U[14; -0.20659046189]
Coordinates of the inscribed circle: I[11.5; 5.581148592]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.6221535611° = 142°37'18″ = 0.65223772729 rad
∠ B' = β' = 128.2211079755° = 128°13'16″ = 0.90437126414 rad
∠ C' = γ' = 89.15773846342° = 89°9'27″ = 1.58655027393 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.