# 6 22 23 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 22   c = 23

Area: T = 65.96216365776
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 15.11326658929° = 15°6'46″ = 0.26437657786 rad
Angle ∠ B = β = 72.93436903541° = 72°56'1″ = 1.27329330323 rad
Angle ∠ C = γ = 91.95436437529° = 91°57'13″ = 1.60548938427 rad

Height: ha = 21.98772121925
Height: hb = 5.99765124161
Height: hc = 5.7365794485

Median: ma = 22.30547080232
Median: mb = 12.70882650271
Median: mc = 11.30326545555

Inradius: r = 2.58767308462
Circumradius: R = 11.50766884235

Vertex coordinates: A[23; 0] B[0; 0] C[1.76108695652; 5.7365794485]
Centroid: CG[8.25436231884; 1.9121931495]
Coordinates of the circumscribed circle: U[11.5; -0.3922273469]
Coordinates of the inscribed circle: I[3.5; 2.58767308462]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.8877334107° = 164°53'14″ = 0.26437657786 rad
∠ B' = β' = 107.0666309646° = 107°3'59″ = 1.27329330323 rad
∠ C' = γ' = 88.04663562471° = 88°2'47″ = 1.60548938427 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.