# 9 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 16   c = 22

Area: T = 61.91547599527
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 20.59767412641° = 20°35'48″ = 0.35994809502 rad
Angle ∠ B = β = 38.71216710509° = 38°42'42″ = 0.67656461188 rad
Angle ∠ C = γ = 120.6921587685° = 120°41'30″ = 2.10664655846 rad

Height: ha = 13.7598835545
Height: hb = 7.73993449941
Height: hc = 5.62986145412

Median: ma = 18.70216042093
Median: mb = 14.78217454991
Median: mc = 6.8922024376

Inradius: r = 2.63546706363
Circumradius: R = 12.79217801927

Vertex coordinates: A[22; 0] B[0; 0] C[7.02327272727; 5.62986145412]
Centroid: CG[9.67442424242; 1.87662048471]
Coordinates of the circumscribed circle: U[11; -6.52991378067]
Coordinates of the inscribed circle: I[7.5; 2.63546706363]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.4033258736° = 159°24'12″ = 0.35994809502 rad
∠ B' = β' = 141.2888328949° = 141°17'18″ = 0.67656461188 rad
∠ C' = γ' = 59.30884123151° = 59°18'30″ = 2.10664655846 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.