# 11 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 22   c = 30

Area: T = 95.92767298515
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 16.89990937835° = 16°53'57″ = 0.29549448271 rad
Angle ∠ B = β = 35.54772490891° = 35°32'50″ = 0.62204165366 rad
Angle ∠ C = γ = 127.5543657127° = 127°33'13″ = 2.22662312898 rad

Height: ha = 17.44112236094
Height: hb = 8.72106118047
Height: hc = 6.39551153234

Median: ma = 25.72545019388
Median: mb = 19.7365754356
Median: mc = 8.80334084308

Inradius: r = 3.04552930112
Circumradius: R = 18.92106908524

Vertex coordinates: A[30; 0] B[0; 0] C[8.95; 6.39551153234]
Centroid: CG[12.98333333333; 2.13217051078]
Coordinates of the circumscribed circle: U[15; -11.53222392592]
Coordinates of the inscribed circle: I[9.5; 3.04552930112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.1010906217° = 163°6'3″ = 0.29549448271 rad
∠ B' = β' = 144.4532750911° = 144°27'10″ = 0.62204165366 rad
∠ C' = γ' = 52.44663428725° = 52°26'47″ = 2.22662312898 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.