# 14 22 23 triangle

### Acute scalene triangle.

Sides: a = 14   b = 22   c = 23

Area: T = 149.3011498653
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 36.16658436388° = 36°9'57″ = 0.63112130483 rad
Angle ∠ B = β = 68.02436651379° = 68°1'25″ = 1.18772369259 rad
Angle ∠ C = γ = 75.81104912233° = 75°48'38″ = 1.32331426794 rad

Height: ha = 21.32987855218
Height: hb = 13.57328635139
Height: hc = 12.98327390133

Median: ma = 21.38992496362
Median: mb = 15.54402702679
Median: mc = 14.41435353054

Inradius: r = 5.06110677509
Circumradius: R = 11.86219037048

Vertex coordinates: A[23; 0] B[0; 0] C[5.23991304348; 12.98327390133]
Centroid: CG[9.41330434783; 4.32875796711]
Coordinates of the circumscribed circle: U[11.5; 2.90877069146]
Coordinates of the inscribed circle: I[7.5; 5.06110677509]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.8344156361° = 143°50'3″ = 0.63112130483 rad
∠ B' = β' = 111.9766334862° = 111°58'35″ = 1.18772369259 rad
∠ C' = γ' = 104.1989508777° = 104°11'22″ = 1.32331426794 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.