# 9 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 20   c = 22

Area: T = 89.99768749457
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 24.14768479965° = 24°8'49″ = 0.42114420015 rad
Angle ∠ B = β = 65.37656816478° = 65°22'32″ = 1.14110208955 rad
Angle ∠ C = γ = 90.47774703557° = 90°28'39″ = 1.57991297566 rad

Height: ha = 19.99993055435
Height: hb = 98.9996874946
Height: hc = 8.1821534086

Median: ma = 20.53765527779
Median: mb = 13.50992560861
Median: mc = 10.93216055545

Inradius: r = 3.52992892136
Circumradius: R = 111.0003819643

Vertex coordinates: A[22; 0] B[0; 0] C[3.75; 8.1821534086]
Centroid: CG[8.58333333333; 2.72771780287]
Coordinates of the circumscribed circle: U[11; -0.09216698497]
Coordinates of the inscribed circle: I[5.5; 3.52992892136]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.8533152003° = 155°51'11″ = 0.42114420015 rad
∠ B' = β' = 114.6244318352° = 114°37'28″ = 1.14110208955 rad
∠ C' = γ' = 89.52325296443° = 89°31'21″ = 1.57991297566 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.