# 20 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 20   b = 22   c = 30

Area: T = 219.9643633358
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 41.80218441931° = 41°48'7″ = 0.73295798146 rad
Angle ∠ B = β = 47.15663569564° = 47°9'23″ = 0.82330336921 rad
Angle ∠ C = γ = 91.04217988505° = 91°2'30″ = 1.58989791469 rad

Height: ha = 21.99663633358
Height: hb = 19.99766939416
Height: hc = 14.66442422239

Median: ma = 24.33110501212
Median: mb = 23
Median: mc = 14.73109198627

Inradius: r = 6.11101009266
Circumradius: R = 15.00224799537

Vertex coordinates: A[30; 0] B[0; 0] C[13.6; 14.66442422239]
Centroid: CG[14.53333333333; 4.88880807413]
Coordinates of the circumscribed circle: U[15; -0.27327723628]
Coordinates of the inscribed circle: I[14; 6.11101009266]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.1988155807° = 138°11'53″ = 0.73295798146 rad
∠ B' = β' = 132.8443643044° = 132°50'37″ = 0.82330336921 rad
∠ C' = γ' = 88.95882011495° = 88°57'30″ = 1.58989791469 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.