# 3 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 20   c = 22

Area: T = 23.4198742494
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 6.11106462489° = 6°6'38″ = 0.10766508965 rad
Angle ∠ B = β = 45.20771662976° = 45°12'26″ = 0.78990138974 rad
Angle ∠ C = γ = 128.6822187453° = 128°40'56″ = 2.24659278597 rad

Height: ha = 15.6122494996
Height: hb = 2.34218742494
Height: hc = 2.12989765904

Median: ma = 20.97702169755
Median: mb = 12.10437184369
Median: mc = 9.13878334412

Inradius: r = 1.04108329997
Circumradius: R = 14.09112775348

Vertex coordinates: A[22; 0] B[0; 0] C[2.11436363636; 2.12989765904]
Centroid: CG[8.03878787879; 0.71096588635]
Coordinates of the circumscribed circle: U[11; -8.80770484593]
Coordinates of the inscribed circle: I[2.5; 1.04108329997]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.8899353751° = 173°53'22″ = 0.10766508965 rad
∠ B' = β' = 134.7932833702° = 134°47'34″ = 0.78990138974 rad
∠ C' = γ' = 51.31878125465° = 51°19'4″ = 2.24659278597 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.