# 9 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 17   c = 22

Area: T = 70.99329573972
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 22.31114770869° = 22°18'41″ = 0.38994087361 rad
Angle ∠ B = β = 45.81656148467° = 45°48'56″ = 0.87996333279 rad
Angle ∠ C = γ = 111.8732908066° = 111°52'22″ = 1.95325505895 rad

Height: ha = 15.77662127549
Height: hb = 8.3522112635
Height: hc = 6.45439052179

Median: ma = 19.1387659209
Median: mb = 14.5
Median: mc = 8

Inradius: r = 2.95880398915
Circumradius: R = 11.85332884226

Vertex coordinates: A[22; 0] B[0; 0] C[6.27327272727; 6.45439052179]
Centroid: CG[9.42442424242; 2.15113017393]
Coordinates of the circumscribed circle: U[11; -4.4165930981]
Coordinates of the inscribed circle: I[7; 2.95880398915]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6898522913° = 157°41'19″ = 0.38994087361 rad
∠ B' = β' = 134.1844385153° = 134°11'4″ = 0.87996333279 rad
∠ C' = γ' = 68.12770919336° = 68°7'38″ = 1.95325505895 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.