# 11 12 22 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 12   c = 22

Area: T = 36.85769871259
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 16.2143633496° = 16°12'49″ = 0.28329812882 rad
Angle ∠ B = β = 17.73442930311° = 17°44'3″ = 0.31095218039 rad
Angle ∠ C = γ = 146.0522073473° = 146°3'7″ = 2.54990895615 rad

Height: ha = 6.70112703865
Height: hb = 6.14328311877
Height: hc = 3.35106351933

Median: ma = 16.84548805279
Median: mb = 16.32548277173
Median: mc = 3.39111649916

Inradius: r = 1.63880883167
Circumradius: R = 19.69877576469

Vertex coordinates: A[22; 0] B[0; 0] C[10.47772727273; 3.35106351933]
Centroid: CG[10.82657575758; 1.11768783978]
Coordinates of the circumscribed circle: U[11; -16.34401853207]
Coordinates of the inscribed circle: I[10.5; 1.63880883167]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.7866366504° = 163°47'11″ = 0.28329812882 rad
∠ B' = β' = 162.2665706969° = 162°15'57″ = 0.31095218039 rad
∠ C' = γ' = 33.9487926527° = 33°56'53″ = 2.54990895615 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.