# 8 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 17   c = 22

Area: T = 59.59439384501
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 18.58333672856° = 18°35' = 0.32443409452 rad
Angle ∠ B = β = 42.62655262252° = 42°37'32″ = 0.7443955778 rad
Angle ∠ C = γ = 118.7911106489° = 118°47'28″ = 2.07332959303 rad

Height: ha = 14.89884846125
Height: hb = 7.01110515824
Height: hc = 5.41876307682

Median: ma = 19.24883765549
Median: mb = 14.20438727113
Median: mc = 7.45498322129

Inradius: r = 2.53659122745
Circumradius: R = 12.55216121178

Vertex coordinates: A[22; 0] B[0; 0] C[5.88663636364; 5.41876307682]
Centroid: CG[9.29554545455; 1.80658769227]
Coordinates of the circumscribed circle: U[11; -6.0455077895]
Coordinates of the inscribed circle: I[6.5; 2.53659122745]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4176632714° = 161°25' = 0.32443409452 rad
∠ B' = β' = 137.3744473775° = 137°22'28″ = 0.7443955778 rad
∠ C' = γ' = 61.20988935109° = 61°12'32″ = 2.07332959303 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.