# 17 20 22 triangle

### Acute scalene triangle.

Sides: a = 17   b = 20   c = 22

Area: T = 162.0910831018
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 47.45875423466° = 47°27'27″ = 0.82882903689 rad
Angle ∠ B = β = 60.08884091405° = 60°5'18″ = 1.04987405818 rad
Angle ∠ C = γ = 72.45440485129° = 72°27'15″ = 1.26545617029 rad

Height: ha = 19.07695095315
Height: hb = 16.20990831018
Height: hc = 14.73655300925

Median: ma = 19.2298884523
Median: mb = 16.92663108798
Median: mc = 14.95499163877

Inradius: r = 5.49546044413
Circumradius: R = 11.53767413953

Vertex coordinates: A[22; 0] B[0; 0] C[8.47772727273; 14.73655300925]
Centroid: CG[10.15990909091; 4.91218433642]
Coordinates of the circumscribed circle: U[11; 3.47879882148]
Coordinates of the inscribed circle: I[9.5; 5.49546044413]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5422457653° = 132°32'33″ = 0.82882903689 rad
∠ B' = β' = 119.9121590859° = 119°54'42″ = 1.04987405818 rad
∠ C' = γ' = 107.5465951487° = 107°32'45″ = 1.26545617029 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.