# 8 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 16   c = 22

Area: T = 49.14326495012
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 16.2143633496° = 16°12'49″ = 0.28329812882 rad
Angle ∠ B = β = 33.9487926527° = 33°56'53″ = 0.59325030921 rad
Angle ∠ C = γ = 129.8388439977° = 129°50'18″ = 2.26661082733 rad

Height: ha = 12.28656623753
Height: hb = 6.14328311877
Height: hc = 4.4687513591

Median: ma = 18.81548877222
Median: mb = 14.49113767462
Median: mc = 6.24549979984

Inradius: r = 2.13766369348
Circumradius: R = 14.3265641925

Vertex coordinates: A[22; 0] B[0; 0] C[6.63663636364; 4.4687513591]
Centroid: CG[9.54554545455; 1.4899171197]
Coordinates of the circumscribed circle: U[11; -9.17773643582]
Coordinates of the inscribed circle: I[7; 2.13766369348]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.7866366504° = 163°47'11″ = 0.28329812882 rad
∠ B' = β' = 146.0522073473° = 146°3'7″ = 0.59325030921 rad
∠ C' = γ' = 50.1621560023° = 50°9'42″ = 2.26661082733 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.