# 9 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 22   c = 30

Area: T = 52.79114529067
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 9.20553928801° = 9°12'19″ = 0.16106644147 rad
Angle ∠ B = β = 23.02197122554° = 23°1'11″ = 0.40217697717 rad
Angle ∠ C = γ = 147.7754894865° = 147°46'30″ = 2.57991584672 rad

Height: ha = 11.73114339793
Height: hb = 4.79992229915
Height: hc = 3.51994301938

Median: ma = 25.91881403654
Median: mb = 19.22223827867
Median: mc = 7.58328754441

Inradius: r = 1.73108673084
Circumradius: R = 28.13295535212

Vertex coordinates: A[30; 0] B[0; 0] C[8.28333333333; 3.51994301938]
Centroid: CG[12.76111111111; 1.17331433979]
Coordinates of the circumscribed circle: U[15; -23.79664657313]
Coordinates of the inscribed circle: I[8.5; 1.73108673084]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170.795460712° = 170°47'41″ = 0.16106644147 rad
∠ B' = β' = 156.9880287745° = 156°58'49″ = 0.40217697717 rad
∠ C' = γ' = 32.22551051355° = 32°13'30″ = 2.57991584672 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.