# 5 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 20   c = 22

Area: T = 47.77548626372
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 12.5422190673° = 12°32'32″ = 0.21989025227 rad
Angle ∠ B = β = 60.33002719553° = 60°18'1″ = 1.05224382855 rad
Angle ∠ C = γ = 107.1587537372° = 107°9'27″ = 1.87702518455 rad

Height: ha = 19.11099450549
Height: hb = 4.77774862637
Height: hc = 4.34331693307

Median: ma = 20.87546257451
Median: mb = 12.43298028947
Median: mc = 9.56655632349

Inradius: r = 2.03329728782
Circumradius: R = 11.51223303269

Vertex coordinates: A[22; 0] B[0; 0] C[2.47772727273; 4.34331693307]
Centroid: CG[8.15990909091; 1.44877231102]
Coordinates of the circumscribed circle: U[11; -3.39661374464]
Coordinates of the inscribed circle: I[3.5; 2.03329728782]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.4587809327° = 167°27'28″ = 0.21989025227 rad
∠ B' = β' = 119.7699728045° = 119°41'59″ = 1.05224382855 rad
∠ C' = γ' = 72.84224626283° = 72°50'33″ = 1.87702518455 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.